The cash-strapped airline wants the tribunal to accept its plea and is seeking an interim moratorium to save its assets, a move the lessors oppose.
Go First did not immediately respond to a request for comment on the lessors' bid to deregister the planes.
Engine failures have cost the airline 108 billion rupees ($1.3 billion) in lost revenue and expenses, it said.
Amid the dispute between the lessors and the troubled airline, banks with exposure to it are awaiting the tribunal's decision to decide their next course of action, two people involved in the talks told Reuters.
The company owes financial creditors 65.21 billion rupees ($798 million), its bankruptcy filing showed, and had not defaulted on any of those dues by the end of April.