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 *

McNabb Duncan J.
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         8392.373 (1)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 (2)  5976    6/1/2021 9/30/2029 (3)Common Stock 5976 $0 5976 D  

Explanation of Responses:
(1) Includes 0.914 shares acquired on 08/03/2017; 0.834 shares acquired on 11/06/2017; 0.972 shares acquired on 02/08/2018; 6.758 shares acquired on 08/03/2018; 6.645 shares acquired on 11/07/2018; 11.627 shares acquired on 02/13/2019; 13.312 shares acquired on 05/21/2019; 14.837 shares acquired on 08/05/2019; 15.501 shares acquired on 10//21/2019; 13.732 shares acquired on 01/14/2020 and 33.479 shares acquired on 4/9/2020 under the AAR CORP. dividend reinvestment plan.
(2) Award of stock pursuant to Restricted Stock Agreement in transaction exempt under Rule 16b-3.
(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
McNabb Duncan J.
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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