The 34-year-old fast bowler announced his retirement from international T20s in February last year but continued to lead Bangladesh in one-day internationals.
Bangladesh have failed to make any impact in his absence, most recently losing the T20 home series against Sri Lanka 2-0.
Nazmul met the team's coaching director Khaled Mahmud and captain Shakib Al Hasan to discuss the defeat, and said afterwards that he had wanted Mashrafe to return for the Sri Lanka series.
"We discussed... Mashrafe. But it entirely depends on him," Nazmul told reporters after the meeting.
"Some people said if I tell him, then he would play, but I told him to play in this (Sri Lanka) series... I didn't force him. He said he wanted to play Test cricket which is why the discussion didn't progress," he added.
"Apart from Mustafizur (Rahman), I think Mashrafe is the most dependable (bowler)."
Bangladesh will play their next T20s against India and hosts Sri Lanka in the Nidahas Trophy, scheduled for March 6-18 in Colombo.
First Published: February 21, 2018, 9:45 AM IST