García is available on loan from Aston Villa, who bought him from Levante for just over £7m in January 2025. He made only six Premier League appearances in his debut season at Villa Park and is expected to leave on loan this summer, with Villa open to including a purchase option in any deal.
Discussions between the player and Valencia had appeared promising in recent weeks but have since stalled, with head coach Carlos Corberán understood to have shifted his preference toward a more experienced full-back profile.
Valencia are now in contact with free agent Thomas Meunier — the 34-year-old Belgium international who ended his time at Lille this summer and is preparing to play at the World Cup before deciding his next move.
Lyon's interest in García is driven by their own need at right-back and their desire to build a squad capable of competing in the Champions League qualifying rounds from August.
The French club finished fourth in Ligue 1 — missing automatic Champions League qualification on goal difference — and head of football Matthieu Louis-Jean has been active in the market, already securing the free arrival of Kaïl Boudache and moving closer to signing Mads Bidstrup.
García's other options include Elche, who have been monitoring him throughout the process.