The three-time Champions League winner was released by Chelsea at the end of last season.
The 33-year-old's single campaign at Stamford Bridge was best remembered for unguarded and unflattering comments by Mourinho about his age.
Eto'o said on Wednesday: "The only thing I have to say vis-a-vis Jose Mourinho is to thank him.
"It is down to Jose Mourinho that I had the opportunity to be accepted and integrated into the Premier League, to play some great matches. That is the end of the discussion."
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