The Dutchman is yet to feature for the Italian giants this term as he continues to recover from a cruciate ligament injury sustained in March.
Strootman was linked with a move to Manchester United during the close-season, but Garcia, who saw his side draw 1-1 at Manchester City in the UEFA Champions League on Tuesday, says he has no intention of letting the 24-year-old go.
"Strootman's an important player for us and I hope to have him available for the game at home to City [December 10]," Garcia is quoted as saying. "He's a top-quality midfielder and we're all really looking forward to having him back.
"We hope he comes back soon."
But while he is keen to hang on to Strootman, Garcia knows it may not ultimately be his decision.
"You'll have to ask our president," he added. "But the club's intentions are very clear."
Get the best features, fun and footballing frolics straight to your inbox every week.
Thank you for signing up to Four Four Two. You will receive a verification email shortly.
There was a problem. Please refresh the page and try again.