Fabianski has been linked with a move to French side Paris Saint Germain in recent weeks.
“Sometimes other clubs ask about Lukasz, but he is under contract at Arsenal,” Fabianski’s agent Martin Wiesner told skysports.com.
“He has another three-and-a-half years to run on his contract and he is very happy at Arsenal.
“He is a good situation playing recently for Arsenal and he is also due to play for Poland next week.
“He is working hard at Arsenal and step-by-step he will become Arsenal’s No.1 goalkeeper.”