The 63-year-old, however, had a forgettable experience in his first major outing with the Indian team in England, where the visitors, approaching the series as world's numero uno Test side, were whitewashed in all formats of the game.
But Dravid backed Fletcher to turn things around for Mahendra Singh Dhoni's men, provided he is given more time.
"Look at his (Fletcher's) achievement with the England team. He comes in with a lot of experience behind him. He has vast knowledge to offer (to India)," Dravid said in an interview in New Delhi.
"It's too premature to judge him. We need to give more time and space to him to produce results," he said.
At 38, Dravid is still going strong and was India's star performer with the bat in England. He, however, was disappointed with the outcome of the series but felt the hosts were by far the better side and deserved to be praised highly for their achievement.
"Obviously, England are a very good team at present. They played some very good cricket and you need to give them credit. They outplayed us in all departments of the game. They showed better skills during that series," he said.