The Uruguay international has only played once for the Red Devils this season, having returned to the club late over the summer due to his involvement in the Copa America.
Cavani has recently been unavailable for selection due to a knock, with Solskjaer revealing that the forward was not fit enough to be involved against West Ham United in the EFL Cup on Wednesday.
However, the Man United manager has now confirmed that the 34-year-old "is ready" to return for the Red Devils and will be in the squad for Saturday's league encounter with Villa.
"Edinson has joined in training fully after that game [on Wednesday] and he's held his hand up and is ready," Solskjaer told MUTV.
"Last season as well, he didn't have a pre-season when he came here. He's so professional and meticulous and, of course, we're glad to now have him back training with us and in the squad."
Cavani has only played 37 minutes of football for Man United this season, featuring off the bench in the 1-0 win over Wolverhampton Wanderers at the end of August. body check tags ::