The 29-year-old four-time world champion had to settle for fourth position in the 2016 drivers' standings having failed to register a race win throughout the campaign.
However, having been the subject of recent reports that he was becoming frustrated with life at the famous Italian constructor, Vettel at least finished the season well by moving up from fifth on the grid to snatch third place at the Abu Dhabi Grand Prix behind race winner Lewis Hamilton and his Mercedes' team-mate Nico Rosberg, who picked up the drivers' title for the first time in his career.
Vettel quickly praised the efforts of his team after ending a "tough" campaign, while Arrivabene feels the podium finish will give Ferrari a lift in the close-season as they work towards 2017.
"This podium finish is a boost to the motivation of the whole team, for the people back home, who have been working so hard since this summer, and for the ones at the track, who never gave up," he said.
"It's clear that we did not reach the targets we had set for ourselves, yet this last race shows that something is moving in the right direction."