The Directorate General of Civil Aviation's (DGCA) "caution" came on the heels of its European counterpart advising both EU and non-EU airlines to avoid Belarus airspace except in emergencies.
Air France has cancelled a second Paris-Moscow flight scheduled for Friday after Russian Federation failed to respond to another flight plan submission, the airline said.
European leaders are now accusing authorities in Minsk of essentially hijacking the passenger flight and they agreed this week to cut air links with Belarus and told airliners to avoid the country's airspace.
On Sunday, Belarusian flight controllers ordered a Ryanair plane flying over the country to land because of a reported bomb threat, and a fighter jet was scrambled to escort it to Minsk, just before it was to land in Vilnius, Lithuania.
Within hours of the Air France cancellation, Belavia flight 2869 to Barcelona was forced to turn around and return to Minsk after Poland said it would not be able to enter French airspace. Finland and Estonia have now also banned flights by Belarusian airlines from using their airspace. "We believe his life and health could be in danger".
The United Kingdom was the first country to ban flights by Belarus on 24 May.
"This is a European diplomatic issue at ministerial level", a spokesman for the French DGAC civil aviation department said, declining further comment. The domestic airline Belavia mostly served transit passengers - and brought the country millions of dollars in revenue by doing so.
Lukashenko - often dubbed "Europe's last dictator" - is facing some of the strongest global pressure of his 26-year rule of ex-Soviet Belarus. When the Belarusian autocrat faced widespread anti-government protests a year ago, which Pratasevich helped to organize, it was Putin who backed him up and helped him see off the challenge to his decades-long rule.
Belarusian President Alexander Lukashenko delivers a speech during a meeting with parliamentarians, members of the Constitutional Commission and representatives of public administration bodies, in Minsk, Belarus.
Belarus's authoritarian president has defended his action to divert a flight that triggered bruising European Union sanctions, and accused the West of waging a "hybrid war" to "strangle" the ex-Soviet nation. "I will not say that our relations with the Russians have worsened, on the contrary, we are now trying to find a way out of this or that specific situation", Sputnik said quoting Lukashenko. Belarusian officials said the agenda of the bilateral talks would focus on the economy, but Lukashenko was expected to "brief" Putin on the Ryanair incident.
The Belarusian opposition has called for further worldwide action against the regime.
The date, May 29, will mark one year since her husband, prominent Lukashenko critic and former presidential candidate Sergey Tikhanovsky, was thrown in jail in Belarus.
"We were stopping migrants and drugs - now you will catch them and eat them yourself", he said. "If you live overseas, gather your kindred spirits and go out for a demonstration to support Belarusians".