Ba was speaking after Chelsea's post-season friendly defeat to Manchester City in St Louis, in which Chelsea squandered a three-goal lead to lose 4-3.
The striker admitted that the fact that Mourinho had already spent time at the club could well give Chelsea an advantage next season.
"You see what he has won, what he has brought to his teams and to his players individually, and of course he is one of the best," Ba told Sky Sports News.
"He knows everything about Chelsea having already managed the team for three or four years. He knows everybody here and he knows the club.
"Everybody is thinking about it and everybody is happy. They know that he is a person that wants to win."
Mourinho, whose departure from Real Madrid was confirmed earlier this week, has been widely tipped to succeed interim manager Rafa Benitez at Stamford Bridge.