Monzon has joined Lyon for an initial fee of €3million. The fee could rise to €4million.
The 25-year-old will replace Aly Cissokho, who left Lyon for Valencia last week.
Monzon has signed a four-year contract with Lyon.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.