The Belgian had lost his first game as Gers boss since taking over in October in the narrow 2-1 Old Firm defeat at Parkhead on Saturday but late first-half goals from wide-men Ross McCausland and Abdallah Sima at Ibrox on Tuesday had the Light Blues in control at the break.
Danny Armstrong reduced the deficit in the 58th minute with a penalty awarded after VAR intervention but Todd Cantwell soon restored the two-goal cushion to keep them eight points behind cinch Premiership leaders Celtic with two games in hand.
The Gers players will enjoy a few days off before going to Spain for a training camp next week.
Clement has already brought the Viaplay Cup back to Ibrox and guided the club into the last 16 of the Europa League and was really satisfied about the potential of his squad.