"I'd like him to. It's up to the team to see [whether he will race]," Fernandes was quoted as saying by Reuters.
Fernandes said that if Chandhok races in India, he will replace Trulli again.
"Yes, I think Heikki [Kovalainen] is our number one driver," said Fernandez at Monza. "Although Jarno's outqualified him here."
The inaugural Indian Grand Prix takes place on 30 October.