As Spurs fans will tell you, however, the 45-year-old is not the right man for the job.
During his first few months of management - troubled months - Sherwood endeared himself to few, eventually being let go by Daniel Levy at the end of the season at White Hart Lane.
Where Sherwood did not necessarily fail as a manager - and was arguably harshly treated - he left much to be desired as a coach.
And, for a side whose first and foremost priority is to stay in the Premier League, the former Tottenham boss is not the right fit at all.
Too often in north London did Spurs find themselves an unorganised mess leaving them exposed to heavy defeats. Manchester City, Liverpool and Chelsea were but a few of the teams that capitalised.
By contrast, Pulis's Palace side were compact last season, troubling the top sides and even beating Jose Mourinho's Blues.
Indeed, Palace can ill afford to take a gamble on a coach who Les Ferdinand once admitted 'dislikes' holding midfielders.
A better option for the London side would be Malky Mackay, even though he may require some backing in the transfer market - the problem that cost Pulis his job at Selhurst Park.
Even David Moyes, meanwhile, would be a more suitable candidate were his wage demands to be met, as he plays defensive, sensible football.
While Sherwood no doubt has a future in football management, it shouldn't be one that involves Palace. A top-half team might suit the adventurous 45-year-old, while a mid-table team might be perfect.
But a side that needs to get the basics right before playing adventurous, attacking football needs to look elsewhere. Ian Holloway's struggles in the Premier League proved that.
Who should replace Pulis at Crystal Palace?