Bordeaux have won just 3 instances in 21 league video games beneath Petkovic, who left his task as Switzerland boss after main the country to the Euro 2020 region-finals.
"I take full duty. I wasn't capable of sufficiently push the players and help them shake this fear. When you are afraid, you can't play football," said Petkovic, who sidestepped questions over his future.
"I'm a fighter, my big name signal is Leo. I don't give up. It's as much as me now for you to transmit this power to the team.
"We're in a battle for survival. We must approach fits in a greater combative manner, with the desire to win at all charges."
Bordeaux were hit badly by using Covid-19 instances, whilst captain Laurent Koscielny is expected to leave this month after it turned into determined he was now not inside the membership's plans.
Hosts Rennes took the lead on 33 mins via Martin Terrier earlier than Benjamin Bourigeaud curled domestic a unfastened-kick.
Issouf Sissokho turned into sent off early in the 2nd 1/2 for Bordeaux and Rennes piled on the distress with goals from Gaetan Laborde and Adrien Truffert before a overdue double through Serhou Guirassy.
Rennes moved returned as much as fourth, at the same time as Bordeaux dropped to second last as Lorient and Metz climbed above the six-time French champions.
Philippe Clement earned his first win as Monaco educate with a four-0 victory over Clermont. Wissam Ben Yedder got here off the bench and scored two times, including to Sofiane Diop's opener, before Caio Henrique bagged a fourth.