Solskjaer is said to be under no immediate danger of losing his job but has to tread carefully in the near future in order to still be at the club come end of this season.
Despite that, results haven't been good this season and pressure is starting to mount on Solskjaer with United just two points of the relegation places.
Since their downfall in performances this season, United have been linked with a move for Tottenham boss Mauricio Pochettino, but Casarino does not think the Argentinean has it in him to manage United.
He told The Times, "The most exciting prospect in England is Eddie Howe, who delivers a great style of football at Bournemouth. Nuno Espirito Santo at Wolves is attack-minded and forward-thinking. I like Thomas Tuchel at Paris Saint-Germain. Lucien Favre's Borussia Dortmund play the way United fans expect of their team."
Talking about Pochettino, he added, "I am not convinced he is a ready-made Manchester United manager."
Solskjaer's Manchester United lost 1-0 to Newcastle at St James' Park on Sunday and the way in which the Red Devils went about the loss had a majorly negative impact on the fans considering the Magpies were in the relegation zone before the match started.