De La Cruz has impressed so far at the Copa America, playing all three games so far including the latest victory over Bolivia. The 24-year-old has been valued at up to €20m.
Just 5ft6, the stocky midfielder has been praised for his nippy footwork and close control and comes with a seal of approval from Cavani.
The former Paris Saint-Germain star signed a new contract earlier this summer to extend his stay at Old Trafford by another year.
De La Cruz, meanwhile, is also interesting Fiorentina this summer.
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