The Gunners are in the market for a new back-up for David Raya as they prepare for the possible departure of Aaron Ramsdale.
Ajax are interested in Ramsdale and have reportedly had a loan bid rejected for the 26-year-old, with Arsenal preferring to offload him permanently.
Garcia, who was in the Spain squad that won gold at the Olympics in Paris last week, has emerged as a possible target if Ramsdale goes.
The 23-year-old made 18 appearances for Espanyol to help them win promotion from the Spanish second division last season.
Garcia is back training with Espanyol after the Olympics and a deal for him could prove difficult, though, as his La Liga club is reluctant to let him go.
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