Cavani has impressed since arriving at Old Trafford on a free transfer at the start of the season, scoring six goals in nine Premier League matches.
However, reports in Argentina claimed the Uruguay international will turn down the chance to extend his stay in Manchester for another season.
His father then added fuel to the fire by claiming Cavani ‘doesn’t feel comfortable’ in England and wants to return to South America.
Despite claims he has already decided to join Boca Juniors, Cavani took to social media to say he is ‘proud’ to be representing Manchester United.
And his manager Solskjaer is adamant that no concrete plans have been made yet.
‘From my bad Portuguese and his better English he is very proud to play for Man United.
‘A decision hasn’t been made – we are just working on getting him back.
‘He has made a great contribution so far just working on getting him back on the pitch and convince him when the weather in Manchester.’
Asked to comment directly on the claims of Cavani’s father, Solskjaer added: ‘I cannot comment on what has been said.
‘Even in his broken English he’s been helping the young kids. We knew he couldn’t play every game because he was out for so long.
‘He will make his decision and he knows we are very fond of what he’s giving to the club even if he’s played less games than he wanted to.’