The former Zambia coach needed a win in Sochaux's last game to avoid relegation but a brace from Daniel Wass consigned them to second tier football next season.
"Even if we had remained in Ligue 1, it was framed in my head for three months, I wanted to finish in beauty but this is not the case," Renard told reporters.
"My priority is to stay in Ligue 1 and Europe, to play the Champions League or the Europa League.
"I'll wait a bit, and if I have nothing, I return to the continent (Africa), I should not have too much trouble finding work."
Sochaux have taken part in every season in the French top division since it was rebranded in 2002.