"I will do a little bit for the game, not for money but for enjoyment," Muralitharan told the Mumbai-based Daily News and Analysis newspaper.
"I've already spoken to Anil and we will try and get together and do some coaching in the spin department.
"He is one of the greatest bowlers I have seen and he knows a lot. We will see which country needs help.
We are looking at subcontinent countries and academies."
The Sri Lankan off-spinner is the world's leading bowler in Tests with 735 wickets in 120 matches. He is followed by retired Australian Shane Warne (708) and leg-spinner Kumble (608).
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Murali is also the second-highest wicket-taker in one-day internationals with 464 scalps in 305 games after retired Pakistani fast bowler Wasim Akram (502).
Coaching bowling is not about technique but about how to use the conditions, he said.
"When both of us call it a day we will look at coaching together.
Hopefully, it will help future generations," he added.
Muralitharan said his t