For the Cameroon international, it is consecutive titles after winning last term with Barcelona.
"It is very satisfying. The most important thing was to win this trophy and that's what we achieved," said Eto'o. "This Inter can continue winning even without Mou, but I don't know yet if he really will be going."
Mourinho said he is likely to join Real Madrid in order to face a new challenge, something that Eto'o recognises.
"After you have won so much it can become difficult, but what makes you keep going is that hunger to get back to the victory.
"That way you can have no regrets when you finally retire."