After turning down Liverpool last summer, Zubimendi is now being linked with a move to Manchester City in January.
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He said from Spain's camp: "Real Sociedad is a big part of my life. Part of who I am as a person is also thanks to them, I think that the values of Real Sociedad are within me and well, I want to continue.
"I arrived at the reserve team when I was 18 and Imanol (Alguacil, coach) was already there, the transition from the reserve team to the first team was much easier for me.
"Today I can say that he is the coach who has influenced me the most, he knows me very well."