The AllMusic reviewer Matt Collar wrote: "A bold, adventurous performer with a titanic facility on the saxophone, Carter is perfectly suited for performing with large ensembles, and the orchestrations here are gorgeously rendered landscapes for Carter to play against. In fact, composer Sierra purposely left certain cadenzas and other areas of the scores on Caribbean Rhapsody open for Carter to improvise, and the results are nothing short of thrilling".[3] In JazzTimes, Bill Beuttler commented: "It’s unusual, and remarkable, in that it’s a full-fledged orchestral work penned with Carter’s improvisational genius firmly in mind, and it manages to successfully blend rhythmic nods to Sierra’s native Puerto Rico".[5] For All About Jazz, C. Michael Bailey said: "In a field populated by "good" and even "exceptional" recordings, it is nice to hear a Caribbean Rhapsody that is truly outstanding".[2]The Guardian critic John Fordham wrote: "It's a stylish success in a crossover territory often fraught with pitfalls".[4]