In a series of tweets, Imran who led Pakistan to their only World Cup title in 1992 accused Sharif of appointing an "election fixer" to "fix" Pakistani cricket.
Although, Khan didn't take any name but the reference was seen as hinting at Najam Sethi, a former PCB chairman who now heads the board's executive committee.
"The reason cricket has, unlike elsewhere, failed to become an institution in Pak is because here PM appoints PCB Chief," Khan tweeted.
Sethi served as a caretaker Chief Minister in Punjab province when the general elections were held and when the Pakistan Muslim League-Nawaz (PML-N) came into power.
Khan has in the past accused Sethi of fixing the election.
He said Sharif has "perfected the art of cronyism" and had appointed an "election fixer" to "fix" Pakistani cricket.
