The British rider, who has replaced the injured Bradley Wiggins as Team Sky's lead rider, was in the 'neutralised' zone though, and was able to get a replacement bike with little hassle.
"An early bike change for @chrisfroome . We're still neutralised so no issue. Let's get that out of the way early shall we! #TDF," tweeted the team.
Froome soon caught up with the rest of the pack on a flat first stage which is expected to be dominated by the sprinters, such as Mark Cavendish.
The first route takes place on island of Corsica, from Porto-Vecchio to Bastia.