The centre-back was an integral part of the club's unlikely Ligue 1 championship-winning campaign last season and has attracted interest from Serie A giants Milan – who are reported to have made a six million euro bid for the player - and Premier League side Newcastle.
The 23-year-old youth product of the Mediterranean club only has a year left on his current deal and has confirmed that he would be interested in following striker Olivier Giroud out of the Stade de la Mosson this summer.
However, Montpellier's outspoken president Nicollin told French news agency AFP that he has no plans to sell another of his star players.
"For now, he is here even if we have to clench our buttocks until August 31," Nicollin said.
"When we met in late May, he wished to stay and be the captain of Montpellier in the Champions League (next season). So we have officially registered our staff with him among them.
"You cannot sell the captain of the champions of France and the future defender of Les Bleus for six million euros. I am very proud to have been contacted by Milan, but we cannot do anything. Apart from an offer we cannot refuse, which was not the case from Milan, he will stay."
Montpellier get their title defence underway on Friday night with a home fixture against Toulouse.