Rudiger threw himself to the turf after getting an elbow into the chest from Savic, the former Manchester City defender, and he was promptly shown a red card.
At that stage, Atletico were already 1-0 down after Hakim Ziyech’s first-half opener and Emerson Palmieri scored late on to secure a 3-0 aggregate win for Thomas Tuchel’s side.
Ferdinand had earlier singled out Rudiger for his ‘aggressive’ performance alongside Kurt Zouma at the heart of the Chelsea defence, but was less impressed by his conduct late on in the match.
‘Rudiger, I think will be embarrassed at the way he’s gone down,’ Ferdinand told BT Sport.
‘But on the other hand he might say, I’ve got him sent off and we’ve won the game, we’ve seen it out.
‘But he’s [Savic] experienced enough to know you’re not going to get away with that in today’s game.’
Former Chelsea star Joe Cole was astonished by Savic throwing his elbow in the first place.
‘Savic, I don’t know what he’s thinking,’ said Cole. ‘For an experienced player to do this.
‘They’re hanging on and hanging on and he’s not lost the tie, the tie was lost but there was no chance of coming back…’
Captain Cesar Azpilicueta underhit a backpass towards Edouard Mendy and then tugged Yannick Carassco’s waist but no penalty was given.
‘It’s a disgrace,’ said Ferdinand. ‘If I’m a player or manager in the Atletico dressing room, you’re screaming, you’re going bananas.
‘That should be going to VAR, the referee should be called to the sides and said take a look at this. He takes one look at that, 100% red card I’m telling you and the game’s different.’
Tuchel won’t be too bothered by that, however, and he was delighted with the performance of his players.
‘Very good performance, unbelievable effort, even from the guys in the stands… could feel we totally wanted it,’ Tuchel told BT Sport.
‘They tried to pressure us high in the first half but opened up some spaces in the back of the midfield and we could exploit it. Second half there were minutes where we suffered but we were ready to do what was necessary to win.
‘Is it a penalty? (Azpilicueta foul) Azpi got a bit frightened because his ball was short, I did not see it but was a bit frightened.
‘We know if we cannot find solutions with offensive play we can rely on our physical game. We were absolutely not afraid to put it on a physical level if we don’t get offensive solutions. We enjoyed the battle. The guys were totally on and sharp, we were super hungry to go through.
‘Quarter-final means there’s only four games – it’s a big step and feels excellent.’