To cover that hypothetical, here is a scouting report on Ochoa, a 6'1", 172-pound 28-year-old Mexican international.
Ochoa possesses cheetah-like reflexes, moves well laterally and throws his body around.
Marseille substitute Jordan Ayew's long-range shot was stymied by a highlight-reel one-handed Ochoa save.
Lyon centre-forward Bafetimbi Gomis' thunderbolt was pushed over the bar by Ochoa, who showed flexibility by gracefully diving across goal.
Toulouse centre-back Jonathan Zebina and Gomis were denied from the penalty spot by an agile Ochoa.
Rennes central midfielder Jean Makoun and Rennes substitute Adrien Hunou were thwarted by Ochoa coming to Ajaccio's rescue with two saves in two seconds.
Ochoa was airborne when he acrobatically tipped Toulouse centre-forward Wissam Ben Yedder's goal-bound free-kick.
Bastia central attacking midfielder Ryad Boudebouz's rocket shot was spectacularly stopped by Ochoa's reflex save.
The vast amount of saves Ochoa makes covers notable mistakes.
Ochoa palmed Lille central attacking midfielder Ronny Rodelin's shot straight into the path of Lille centre-forward Salomon Kalou, who took advantage and poached a goal.
Nantes utility player Alejandro Bedoya volleyed the ball into an empty net after Ochoa inadvertently deflected the ball towards the United States international.
When Nice right forward Christian Bruls took a free-kick, Ochoa gave up on the play and ball-watched.
The shot hit the post and ricocheted off a stationary Ochoa for an own goal.
Ochoa found himself in no man's land when he rushed out but was beaten to the ball by Evian Thonon Gaillard utility player Daniel Wass, who headed into an unguarded net.
Ochoa is in career-best form, is available on a free transfer and can push Szczesny.
100 - Kossi Agassa is the only goalkeeper, alongside Guillermo Ochoa, to have made more than 100 saves in Ligue 1 this season. Gloves.— OptaJean (@OptaJean) March 14, 2014
146 - Guillermo Ochoa has made 146 saves in 2013, more than any other goalkeeper in the Top 5 European leagues. Tireless. #Opta2013— OptaJean (@OptaJean) December 26, 2013
140+ – Guillermo Ochoa is the first goalkeeper to make more than 140 saves in a single Ligue 1 campaign since 2006/07. Wall. @yosoy8a— OptaJean (@OptaJean) May 12, 2012
13 - Guillermo Ochoa's 13 saves v Marseille are a record in the top five European leagues, Champions League & Europa League this term. Memo.— OptaJean (@OptaJean) October 24, 2011
Signing Ochoa would be a routine Arsene Wenger transfer.
Ochoa resuscitated his career after years of stagnant progress, so he is determined to take his game to the next level and can beat out Szczesny for the No. 1 role.
Should Arsenal Sign Guillermo Ochoa?
Statistics via WhoScored.com.