The Spain international, who returned to his boyhood club this summer, was reported to have told Sport magazine that uncertainty over the Gunners' short-term goals played a part in his decision to leave.
However, the 24-year-old took to his Twitter account on Thursday evening to deny ever making such comments.
He tweeted: "Id never speak 1 bad word abt AFC, here there's once more prove that so many people put in newspaper wtv they want and its not professional.
"I want Arsenal to be successful as much as every single fan. Thats not why i left, it was never in my mind. AFC made me who i am today.
"And nobody will ever change that. I never gave any interview away since my press conference at my presentation and there i just said the truth and what came out of my heart. Great words abt this great football club cause that just what they deserve: success and trophies.
"People can h8 me 4 leaving or remember that i gave my all for the club. But me talking 1 bad word or saying smthng against AFC will not seen."