Stoke's stars were buoyed after their 2-1 victory over Swansea on Sunday.
The Swans visited Britannia Stadium with a point to prove, taking the lead through a first-half Wilfried Bony penalty.
But controversy ensued as referee Michael Oliver awarded the home side a penalty of their own for a foul on Victor Moses. Many felt there was no contact between defender Angel Rangel and the Nigerian but Charlie Adam tucked the spot-kick away regardless.
Jonathan Walters then scored a second-half winner and the Potters went away with all three points.
And target man Crouch was delighted to have beaten such a good side, praising a 'huge three points' on Twitter.
Goalkeeper Begovic, meanwhile, praised the atmosphere at the Britannia Stadium and also hailed a 'huge home win.'
The Bosnian has, interestingly, been linked with a move to Real Madrid over the last couple of days.
And substitute shot stopper Sorensen also talked up his side's support on social media.
Great win today. True grit from the boys. Support top notch as always #potternation— Thomas Sorensen (@TSorensen1) October 19, 2014
The conquest moves Stoke up to 10th in the Premier League table, on the same amount of points (11) as Swansea, as well as Arsenal, Tottenham Hotspur and (until later tonight, at least) Manchester United.
Mark Hughes' side travel to St Mary's for their next league encounter (on Saturday), where they will face an in-form Southampton side who, remarkably, sit third in the standings after eight games.