Goal reported on new United manager David Moyes' interest in the 22-year-old, who is said to be considering a move away from Camp Nou due to a lack of first-team opportunities.
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"I just live my life and I am very happy," Thiago told reporters while with Spain's Under-21 side.
"I enjoy it in Barcelona because I have lived through some great times but we will see what happens after the Euros.
"Any player is used to living with rumours about him and they just cannot affect you."
Thiago insisted that not too much should be read into his Under-21 team-mate David de Gea's desire to see him join him at Old Trafford.
"All players want the best players in their team," he added. "I could say I hope that he comes to Barca in the same way he says things about me.
"I just think he was having a bit of fun and not too much should be read into it."