In fact it would be nice, but ... I think this would encourage exchanges between holders of more than one team, to the detriment of the game and the market. If I possess a team of level 10 I could give my player to my second team, for example, at level 8 ... a bit boring for other managers, is not it?
That would only be possible if somehow you had 2 teams on the same server, which would be unlikely.
FC Bristbury
Season 5, Level 5
League Winners Levels: 1, 2, 3 & 4
Champions League Winners Levels 2 & 3 Double X 2 (League and Champions League), Levels: 2 & 3