In a letter dated June 14, the unions have sought an appointment with the Civil Aviation Minister Gajapathi Raju to discuss their concerns over Air India's future.
The unions have written that they oppose the "arbitrary and unilateral" recommendations of the government's top policymaking body to privatise Air India and have called it a "spokesperson of the private sector".
"We urge you not to accept the hurried recommendations by the NITI AYOG and not to force the employees of Air India to agitate which will lead to industrial unrest and disharmony," the letter said.
The letter further said employees all over India were "agitated and apprehensive" about the issue.
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There are a total 21,137 employees of Air India, including its subsidiaries.
The letter has been written collectively by AI Air Corporate Employees Union, AI Employees Union, AI Aircraft Engineers' Association, United Air India Officers' Association, AI Engineer's Association, AI Cabin Crew Association and AI Service Engineers' Association.
The letter also alleged that the airline which was built over a period of 64 years was being "demolished within 15 days by the NITI AYOG".
Finance Minister Arun Jaitley had last month pitched for Air India's divestment saying it has a market share of 14 per cent whereas its debt is Rs 50,000 crore, following which the the Civil Aviation Ministry said it was looking at all possible alternatives to make the airline viable.
"The government and the government alone are (sic) responsible for this decline in passenger traffic. No autonomy was granted to the management of Air India to determine to which sectors the Air India should operate its flight," the letter adds.
The Cabinet is expected to take a call on privatising Air India soon.
The CBI has also registered three FIRs and a preliminary enquiry (PE)on several decisions made by the erstwhile UPA government with regard to Air India.