Ancelotti is keen on making the 31-year-old his fist signing at Chelsea.
Gattuso’s agent Andrea D’Amico said: “The rapport between Gattuso and Ancelotti is very strong.
“He was deeply distressed by the decision to change the boss. Gattuso is very attached to Ancelotti the manager.
“Gennaro has the characteristics and the qualities needed to play in the English league.”