One-time grand prix winner Martin made his MotoGP debut with Ducati as a Pramac rider in 2021 and won the Styrian GP in his rookie year.
Martin was locked in a battle with Enea Bastianini last season for a place at the factory Ducati squad but was beaten to the seat by the four-time race winner.
The Spaniard remained on a factory contract for 2023 to stay at Pramac, but in the early part of this year, he has been linked to a potential Yamaha switch for next season.
Martin confirmed during the French Grand Prix weekend that he does have a clause in his current contract that states he can leave a year early if he is offered a factory seat.
Commenting on the rumours, Ciabatti doesn't think the Yamaha package will be good enough to entice Martin away.
"He has an option in the contract, we would like him to stay with Ducati," Ciabatti told the MotoGP world feed at Le Mans.
"He's one of the fastest young riders and, at the moment, it doesn't look like Yamaha has the bike to win the championship.
"I'm sorry to say, but this is what it looks like at the moment.
"We don't know about next year, but at the moment he's on a winning bike and I think he'd like to stay because he likes to win."
Martin won the sprint race at Le Mans, marking his first victory of any kind since his Styrian GP success, and was second in the grand prix.
Source: Autosport