His agent has suggested that he will be departing North London - but Hleb insists he does not want to fan the flames.
"As is said, there is a lot of speculation about me," Hleb told German website transfermarket.
"And I will not be making statements on this and stirring it up further."
Hleb did admit that Arsenal coach Arsene Wenger has played a huge part in his career and he 'owes him a lot'.
"Wenger is a coach who you can learn a great deal from," he said.
"He is not loud, he is a thinking type.
"I owe a lot to him."
On his personal life Hleb admits he is not that keen on the draw of a big city like London.
"Certainly I am not into parties or clubs," he said.
"I am not a big city man, I need my retreat - that is why I am often in Germany. Stuttgart is my second home, my friends are there and it is where I feel most comfortable."