Kalyanasundaram, a Stalin loyalist, also demanded that Kanimozhi, daughter of DMK chief M Karunanidhi and former ministers A Raja and Dayanidhi Maran remain "aloof" from the party, party sources said.
He also urged the leadership to remove from party posts, functionaries facing land-grabbing and disproportionate assets cases.
He also urged that office bearers be appointed to newly restructured district units.
In a letter dated July 30, which was sent to DMK chief M Karunanidhi and party general secretary K Anbazhagan, he said Stalin should be announced the chief ministerial candidate for the 2016 Assembly election.
The party has not taken any decision on his resignation, sources said.
DMK had recently restructred its district units in a bid to strengthen the party at the grass roots level.