The Australia international knows of the Gunners’ interest in him and is keen to leave Fulham this summer, with Cottagers manager Roy Hodgson believing the 37-year-old will depart, according to The Mirror.
Wenger believes that Schwarzer is the type of experienced backstop that will help improve his defence, but not impede the progress of young goalkeeping prospects the Gunners have.
Last year’s first choice Manuel Almunia could be let go this summer as Arsenal are grooming Polish starlet Wojciech Szczesny to be the future number one.
Arsenal scouts attended Fulham matches towards the end of the Premier League season and Wenger has personally attended his games in South Africa.
Fulham have already rejected a bid of about £3m from Arsenal, but with the Gunners looking determined to buy Schwarzer, the Cottagers are prepared to lose their veteran goalkeeper.