Spurs were in the driving seat following a 2-2 in Turin, and they were 1-0 up in this tie as well.
"Tottenham are on their way to winning something," Sherwood said on talkSPORT.
"They're progressing every year and I think they've got the squad to challenge for the Premier League and the Champions League.
"Now they have to dust themselves down, don't take it too hard and try and win some silverware – I think they've got a real chance in the FA Cup this season.
"If they do win it, they will get that belief which will stand them in good stead in any competition going forward."