Szczesny responded to his father's outburst in a statement posted on Arsenal's official website.
"I would like to apologise for the comments made by my father which have been used by both Polish and English media," he said.
"I'd like to make it clear that those were the views and opinions of my father and not mine, and although I respect his views I cannot accept them as I find them disrespectful to the club I truly love.
"I've always felt that I received great support from the manager and the fans and I am fully focused on getting back to my best.
"I am proud to be a part of Arsenal and I see my future at this great club."