The quote has been attributed to Jimenez since he left Milan for the Cherries last year.
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But the 20 year-old told Sky Italia: "I don't think Allegri is a 's*** coach,' and his history proves it.
"I was leaving a match, I hadn't played, and I was angry: I sent the wrong message to the wrong person. I apologised to Allegri from day one: I don't believe what I wrote.
"And he accepted my apology. But all these situations have robbed me of my peace of mind, and I was also the one who told the club to find solutions: Milan is a club I love, and I didn't want to feel bad or negatively impact the team with a bad moment of mine."