"It is the duty of players to play the game. The referee is there to maintain fair play, not to help any one team to win," Oli said speaking in Nepali language.
Deuba will have to secure the vote of confidence in parliament within a month after his appointment as the new prime minister.
A five-member Constitutional Bench of the Supreme Court on Monday also ordered appointment of Nepali Congress President Sher Bahadur Deuba as prime minister within two days.
President Bhandari dissolved the lower house for the second time in five months on May 22 and announced snap elections on November 12 and November 19.
Nepal's Opposition parties have also taken serious objection to the government's decision to export sands and pebbles.
In his written response to the Supreme Court, Oli said that it is not up to the judiciary to appoint a Prime Minister as it cannot undertake the legislative and the executive functions of the state.
The issues raised by the petitioners are of grave public concern and require to be sorted out without delay, reads the order.
A single bench of Chief Justice Cholendra Sumsher Rana is conducting the preliminary hearing on 19 petitions demanding an interim order against the dissolution of the House.