The Daily Mail says Jenkinson, Wenger's first summer signing, is at the centre of a row between England and Finland.
Jenkinson has played for England Under 17s but qualifies for Finland through his mother.
After talks with family, Jenkinson decided to pledge his future to Finland and has three caps for their Under 21s. The 19-year-old moved to the Emirates from Charlton earlier this week.
The dream move has re-alerted the FA to Jenkinson's talents and Wembley chiefs are understood to be keen to persuade the defender back into the England fold.
Finland, aware of England's interest, want to fast-track Jenkinson into their senior side to secure his future.
Indeed, manager Mixu Paatelainen has called Jenkinson up into a training camp for the players on the fringes of his side - despite him making 12 professional appearances.
An FA spokesman said: "Carl Jenkinson has been in England's development system and is still on our radar but has chosen to represent Finland at this present time, which he is entitled to do."