Posting footage of youths throwing projectiles at the bar and eatery on Avenue Bosquet, French actor Avner Peres commented on Twitter: "No respect for our wonderful team, no respect for their fellow citizens, no respect for the workers".
France manager Deschamps lifted the trophy at Stade de France 20 years ago and now is the third person, after Brazil's Mario Zagallo and Germany's Franz Beckenbauer, to win the tournament as a player and coach.
The national team's official Twitter account posted a video of defender Benjamin Mendy boarding the bus, with the message: "We go back to France with the Cup and one more star".
France has suffered years of tension and self-examination since a series of attacks by Islamist gunmen during 2015 that left more than 140 dead, including 89 killed in the Bataclan theatre in Paris.
France's World Cup winning heroes have departed Russian Federation and headed for home, in time for as planned victory parade in Paris which is poised to bring out thousands onto the streets of the capital.
The fans were particularly proud that the team captain, Luka Modric, won the Golden Ball after being voted the best player of the World Cup. Typically, celebrations in France end up with some broken shop windows and other destruction, and Sunday was no exception.
The win sparked scenes not scene on Paris’ streets since the 1998 World Cup triumph
But some were keen to put that phrase to one side, seeing in it a sense of separateness, even if it was meant positively.
Cops used water canons on crowds when the country became two-time world champions after beating Croatia 4-2 in Moscow.
"We are not in 1998", said Mounir Mahjoubi, the secretary of state for digital affairs, whose parents emigrated from Morocco.
"That's not how you celebrate", a tearful bystander wearing a French team jersey said.
In Paris, the metro system temporarily renamed six of its stations in honour of the key players, with the Victor Hugo stop - named after the famed 19th-century writer - becoming Victor Hugo Lloris after the team's goalkeeper. A club in the poor suburb where 19-year-old star Kylian Mbappe grew up is among them.
To guarantee the security of the parade on the Champs Elysees, the police announced a special deployment of 2,000 officers and armed security guards in the capital, and added that more details on the security protocols will be provided on Monday morning.
As the players made their way down the boulevard towrds the Elysee Palace, fans roared in triump and nine jets from the Patrouille de France performed a fly-over trailing red, white, and blue smoke.
President Emmanuel Macron leads France's World Cup celebrations
Putin was watching the game alongside Macron and Federation Internationale de Football Association president Gianni Infantino. The 40-year-old leader joined Paul Pogba and Benjamin Mendy in the former's trademark goal celebration move - the dab.