Alexandre started his career in the youth academy at Paris Saint-Germain, where he spent from 2000 to 2010. He then moved to Angers and signed his first professional contract in Anjou.

After spending the next two years under contract with the SCO, he moved on to play for the Young Boys of Bern (Switzerland), ESTAC, and Sarpsborg 08 (Norway) before returning to his first club and signing as the third keeper for Paris Saint-Germain in 2020-21.