The winger moved to Camp Nou from Atletico Madrid last summer but had to wait until January to make his debut because of the club's transfer ban.
Turkey international Turan had been linked with both Chelsea and United prior to that move but insists there was only ever one club he wanted to represent.
"I always dreamt of playing for Barcelona," he told Hurriyet. "Not Chelsea, not Manchester... but Barcelona. 'I wish I can play for Barca one day, be a part of that team' - I had said to myself many times.
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"I'm used to paparazzi in Turkey but in Spain, they don't act that way. They don't chase and shoot Messi. Even Ronaldo was free of paparazzis when he was with (former girlfriend) Irina (Shayk).
"I feel less pressure now at Barcelona. It was different at Atletico. If someday I will leave Barca, I'll know that I'll be leaving on top. I'll know that I succeeded. I don't have to prove anything to anyone."