His assertion comes amid reports suggesting that the government might be looking to offload stake in Air India, which is in the red.
"There is not any divestment plan for Air India. False rumours are being spread by those who are jealous. Many parties are jealous about Air India's success," Choubey said.
Speaking at the pre-launch function for Air India's non-stop Delhi-Vienna flight, Choubey noted that the carrier has improved "its performance in recent times".
Air India is expected to cut its losses by 40 per cent to Rs 3,529.80 crore in the last financial year, which ended on March 31.
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In 2014-15, the airline had a net loss of Rs 5,859.91 crore.
The airline is surviving on a Rs 30,231 crore bailout package extended by the previous UPA government in 2012. The Turnaround Plan (TAP) runs till March 2021.
Lohani said the carrier was enhancing the number of
planes in its subsidiary, Alliance Air, by inducting ATR planes.
On the issue of stopping Pune flight, he said since the airport in that city was with the Air Force, the latter had denied permission for it and therefore it was stopped.
Efforts are on to get nod for Pune operations, he said.
The CMD also stated that the carrier was mulling to connect Bhopal with Kolkata, Raipur, Indore, Jaipur and Delhi and also Bhopal with Indore and Ahmedabad.
"We are also planning to take Hyderabad flight up to Bangalore by October-November end," he said.
On the issue of recent technical snags in the carrier at Bhopal, Lohani admitted that error occurred but added that they were under control now.