Steve Morabito, a rider on the FDJ team, says "some punches and elbows were thrown" as Froome's team-mates with Sky positioned themselves at the front of the peloton for the last climb on Stage 10.
Froome handily won that stage in the Pyrenees, putting him in control of the race for Wednesday's Stage 11, which was another trek through the mountains straddling France and Spain.
In a video posted on the team's Twitter feed, Morabito said FDJ "had a spot at the front" at the foot of the long climb to the La Pierre-Saint-Martin ski station and that Sky riders "were very aggressive in repositioning themselves."
He complained that the tactics weren't "very fair," saying "that's not my vision of cycling." Morabito, who isn't a contender for victory, appealed for "a bit of calm," noting that the Tour is only in its second week.
Sky riders led Froome up the first portion of Tuesday's ascent before he accelerated to win.