The Colombian arrived in London in January from Italian club Fiorentina, but found it difficult to crack into the side’s star-studded starting line-up, making just 12 League appearances, mostly from the bench.
Speculation has been mounting of a possible move away from the Bridge, with Serie A club Inter Milan linked with the 27-year-old, yet the Blues boss has dismissed any such talk.
“Cuadrado is not going anywhere this summer,” Mourinho told DirecTV.
“People don't know Cuadrado yet: I have seen him many times when we were both in Italy, me at Inter and him at Udinese.
“Because of that I have a lot of hopes for him for next season. I hope in the Copa America he can regain his self-esteem, his ego and that he has that joy of playing.”
Cuadrado, who shone for Colombia at last year’s World Cup, will hope to impress in national colours once more at this year’s Copa America, which is scheduled to kick off on Thursday evening.
Colombia have been drawn in Group C alongside Peru, Venezuela and Brazil.