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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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.