Bourdais, who tested for Arrows in 2002 and was offered a drive before that team folded, said it would be hard to keep his hopes alive after 2007: "I'll be 28. And you don't break into F1 when you're 30."
He was critical of French carmaker Renault, winners of both Formula One titles this season with 24-year-old Spaniard Fernando Alonso taking the drivers' crown.
"I don't expect anything from Renault. They have done enough bad-mouthing about me," he said.
"And (Renault F1 president) Patrick Faure's provocative comments on French drivers show they are looking for a reason to justify their policy not to recruit a French driver," he added.
"I don't know the real reasons and, in the end, I don't really care. I just want them to leave me in peace. They should stop having fun demolishing all the French drivers.
"That's the most frustrating thing," he continued. "They won in F1 this year and, sincerely, I say 'Bravo'. I also win and they should also say 'Bravo', even if they are not interested in working with me."