Chelsea are unbeaten in six games since Potter replaced Thomas Tuchel at Stamford Bridge and the win at Villa was their fifth in a row in all competitions.
The home side helped them when Mount made a horribly mistimed header in Tyrone Ming’s defense in the sixth minute.
Villa responded well and created several good chances before the break but were frustrated by Chelsea goalkeeper Kepa Arrizabalaga, who made a series of saves, including a superb one to deny Danny Ings to equalise.
Any hope of Villa salvaging anything from the game vanished in the 65th minute when Mount’s sharp free-kick tricked goalkeeper Emiliano Martinez.
The win left Chelsea in fourth place with 19 points from nine games, four behind London rivals Tottenham Hotspur.
Villa are 16th, one point above the relegation zone, and the pressure is mounting on manager Steven Gerrard, who was booed by Chelsea fans throughout the game.
Manchester United and Newcastle drop points
Manchester United and a goal shy Cristiano Ronaldo were unable to overcome Newcastle United in a 0-0 draw at Old Trafford.
Showing a passion and grit sometimes lacking from their hosts, Eddie Howe’s Newcastle had the best chance of the game with Joelinton’s superb first-half double hitting first the crossbar and then the post.
Newcastle’s Callum Wilson also had a powerful penalty dismissed.
Ronaldo, celebrated before the game for reaching 700 club goals in his career, scored twice. But he was found to be offside in the first, while the second was ruled out when he brazenly cleared the ball from Newcastle to poke the ball into the net after claiming a free-kick had been awarded.
Ronaldo has scored just twice this season for Manchester United and some pundits have already declared the end of his brilliant career.
The result left Manchester United fifth with 16 points and Newcastle sixth with 15 points with one game in hand
West Ham and Southampton are deadlocked
Declan Rice struck from outside the box to give West Ham United a point in a 1-1 draw against Southampton.
Skipper Rice produced a masterful effort in the 64th minute to give the visitors a deserved share of the spoils after Romain Perrault had put the Saints ahead in the 20th minute.
The draw ended a run of four successive defeats for Southampton, but the point earned and the game did little to ease the pressure on beleaguered manager Ralf Hasenhütl.
They remain in the bottom three with eight points, while West Ham have climbed to 11th place with 11 points from the first 10 games of the season.