Akpom who joined Arsenal at the age of six is looking for a permanent exit from the club with promotion to the first team looking impossible.
Leeds United are eyeing the 21-year-old to replace Chris Wood who is on the verge of joining Burnley.
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Celtic manager Brenden Rodgers is looking for more options up front and is looking to Akpom to provide more competition for the likes of Moussa Dembele and Leigh Griffiths.
The Nigerian-born player spent the second half of last season on loan at Brighton & Hove Albion.
Akpom also had spells in League One with Brentford, Coventry and Nottingham Forest in the Championship
An England youth international but eligible still to play for the Super Eagles of Nigeria, Akpom is yet to make a decision on his international career.