Zakaria and Matic leave Italy for France's Lique 1

Zakaria has 49 caps, with three goals, and has played in Switzerland's last four major tournaments.

Also announced on Monday Stade Rennais signed Matic on a two-year contract.

Italian media said Rennes will pay €3 million ($A5 million) for the 35-year-old.

During his one season with Jose Mourinho's Roma side, having joined from Manchester United on a free transfer, Matic made 50 appearances and scored twice.

"The (Rennes) project that was proposed to me pleased me from the first discussions. I know there are talented players in the squad, I can't wait to get started," he said.