Ownership Submission
FORM 4
Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
OMB APPROVAL
OMB Number: 3235-0287
Expires: January 31, 2005
Estimated average burden hours per response... 0.5

(Print or Type Responses)
1. Name and Address of Reporting Person *
WELLS FARGO BANK N A
  2. Issuer Name and Ticker or Trading Symbol
NUVEEN ARIZONA PREMIUM INCOME MUNICIPAL FUND [NAZ]
5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director __X__ 10% Owner
_____ Officer (give title below) _____ Other (specify below)
(Last)
(First)
(Middle)
101 NORTH PHILLIPS STREET
3. Date of Earliest Transaction (Month/Day/Year)
06/01/2016
(Street)

SIOUX FALLS, SD 57104
4. If Amendment, Date Original Filed(Month/Day/Year)
6. Individual or Joint/Group Filing(Check Applicable Line)
___ Form filed by One Reporting Person
_X_ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)
2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code
(Instr. 8)
4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)
5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)
6. Ownership Form: Direct (D) or Indirect (I)
(Instr. 4)
7. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V Amount (A) or (D) Price
Variable Rate MuniFund Term Preferred Shares 06/01/2016   J(1)(2)   790 D (1) 0 I By Subsidiary (2) (3)
Variable Rate MuniFund Term Preferred Shares 06/01/2016   J(1)(2)   883 A (1) 883 I By Subsidiary (2) (3)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number. SEC 1474 (9-02)

Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 3)
2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (Month/Day/Year) 3A. Deemed Execution Date, if any (Month/Day/Year) 4. Transaction Code
(Instr. 8)
5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)
6. Date Exercisable and Expiration Date
(Month/Day/Year)
7. Title and Amount of Underlying Securities
(Instr. 3 and 4)
8. Price of Derivative Security
(Instr. 5)
9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 4)
10. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 4)
11. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
WELLS FARGO BANK N A
101 NORTH PHILLIPS STREET
SIOUX FALLS, SD 57104
    X    
Wells Fargo Municipal Capital Strategies, LLC
375 PARK AVENUE
NEW YORK, NY 10152
    X    

Signatures

 WELLS FARGO BANK, N.A., /s/ Michael J. Choquette   06/03/2016
**Signature of Reporting Person Date

 WELLS FARGO MUNICIPAL CAPITAL STRATEGIES, LLC, /s/ Daniel E. George   06/03/2016
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1) The disposition of shares occurred pursuant to an Exchange and Purchase Agreement among the Issuer and Wells Fargo Municipal Capital Strategies, LLC ("Capital Strategies") pursuant to which Capital Strategies exchanged 790 existing Variable Rate MuniFund Term Preferred Shares of NAZ for an equal number of newly issued Variable Rate MuniFund Term Preferred Shares, Series 2019, of NAZ, and purchased 93 newly issued Variable Rate MuniFund Term Preferred Shares, Series 2019, of NAZ, for a purchase price of $100,000 per share.
(2) This statement is jointly filed by Wells Fargo Bank, N.A. and Capital Strategies. Wells Fargo Bank, N.A. holds an indirect interest in the securities listed in Table I (the "Securities") by virtue of its indirect ownership of its subsidiary Capital Strategies.
(3) Each reporting person declares that neither the filing of this statement nor anything herein shall be construed as an admission that such person is, for the purposes of Section 13(d) of the US Securities Exchange Act of 1934 or any other purpose, (i) acting (or has agreed or is agreeing to act together with any other person) as a partnership, limited partnership, syndicate or other group for the purpose of acquiring, holding or disposing of securities of the Issuer or otherwise with respect to the Issuer or any securities of the Issuer or (ii) a member of any group with respect to the Issuer or any securities of the Issuer.
 
Remarks:
Exhibits Index
Exhibit 99.1 - Joint Filing Agreement
Exhibit 99.2 - Joint Filer Information

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.

Potential persons who are to respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB number.