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
                                                                                  
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Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940
                      

1. Name and Address of Reporting Person *

WALFISH MARC JAY
2. Issuer Name and Ticker or Trading Symbol

AAR CORP [ AIR ]
5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

__X__ Director                    _____ 10% Owner
_____ Officer (give title below)    _____ Other (specify below)
(Last)          (First)          (Middle)

1100 N. WOOD DALE ROAD
3. Date of Earliest Transaction (MM/DD/YYYY)

6/1/2020
(Street)

WOOD DALE, IL 60191
(City)        (State)        (Zip)
4. If Amendment, Date Original Filed (MM/DD/YYYY)

 
6. Individual or Joint/Group Filing (Check Applicable Line)

_X _ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)
2. Trans. Date 2A. Deemed Execution Date, if any 3. Trans. 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
Common Stock 6/1/2020  A(1)  5976 A$0 119703.5878 D  

Table II - Derivative Securities Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security
(Instr. 3)
2. Conversion or Exercise Price of Derivative Security3. Trans. Date3A. Deemed Execution Date, if any4. Trans. Code
(Instr. 8)
5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)
6. Date Exercisable and Expiration Date7. Title and Amount of Securities Underlying Derivative Security
(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)
CodeV(A)(D)Date ExercisableExpiration DateTitleAmount or Number of Shares
Phantom Stock $20.08 6/1/2020  A   562 (2)   6/1/2020 9/30/2024 (3)Common Stock 562 $20.08 562 D  

Explanation of Responses:
(1) Award of stock pursuant to Restricted Stock Agreement in transaction exempt under Rule 16b-3.
(2) Phantom Stock 562 shares - This amount includes 498 shares at $20.08 per share of the deferred quarterly director's retainer fee and 64 shares for the quarterly dividend equivalent shares acquired as dividend reinvestment on deferred compensation, pursuant to the reinvestment feature of the Non-Employee Directors' Deferred Compensation Plan.
(3) Phantom Stock units are payable in stock on a 1-for-1 basis or cash at the grantee's election upon retirement/termination as a director.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director10% OwnerOfficerOther
WALFISH MARC JAY
1100 N. WOOD DALE ROAD
WOOD DALE, IL 60191
X



Signatures
/s/ Kai England, Power of Attorney6/3/2020
**Signature of Reporting PersonDate

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