Sherwood brought Adebayor back into the fold at Tottenham last season when he had been frozen out by Andre Villas-Boas.
Mauricio Pochettino made the 30-year-old striker captain for the 1-0 win over Sheffield United in last night's League Cup semi-final, but was booed off by some sections at White Hart Lane when he was substituted.
There has been suggestion that Adebayor doesn't have the desire to play for the club, but Sherwood - who brought Adebayor back into the Spurs fold during his time in charge last season when he was frozen out by Andre Villas-Boas - thinks the forward has a role to play at the club.
He told TalkSport: “I can only talk of how I found him and he was fantastic for me.
"I gave him the opportunity to play and he not only produced on the pitch but off the pitch, around the training ground, he was a great example to all of the players there.
"Young players like Harry Kane who have come through this year learnt a lot from Adebayor.
"He does care. It is just the way he looks on the pitch. It is not a lack of trying, I can tell you that for certain.
"You have to play towards him and keep him in the game. Do that and you get the best out of him.
"I think he will be very important for Mauricio Pochettino and Tottenham for the remainder of the season."
Last night was just Adeabayor's 14 appearance of the season, and so far he has only found the net on two occasions.
Last season, however, when he returned to the side he seemed to hit the ground running and ended up scoring 14 goals in 25 games.
If he were to find that sort of form, averaging better than a goal every two games, then there is little doubt that would be a good contribution. At the moment, he seems completely out of touch, possibly down to a lack of matches, but it would take a little time for him to find that rhythm.
With Harry Kane in such impressive form this season, Adebayor is going to find it hard to get regular game time. Pochettino himself has described Adebayor as an important player, but the chances of that materialising on the field seem to be on the slim side right.
It seems to be a case of only time will tell.