The German international, who made the move from Real Madrid on transfer deadline day, said that any pressure he does feel is that which he puts on himself.
"In football I feel generally very little pressure," the 24-year-old told the DFB's official website. "I am doing what I enjoy most and what I do best.
"I love my work, so I just look forward to every game and do not concern myself so much with what others day or write.
"The pressure that I have, I mainly put on myself because I expect a high level of myself, but with this I can handle pressure very well and hide everything very well."
Ozil is currently on international duty ahead of Germany's World Cup qualifiers against the Republic of Ireland and Sweden.