It was the sixth time in his 17-match Test career that the 25-year-old left-arm spinner had taken five or more wickets in an innings.
England captain Michael Vaughan was impressed by the latest example of "Monty magic".
So too was West Indies coach David Moore, who chose Panesar as England's man of the series after a haul of 23 wickets at under 19 apiece, including 10 in England's 60-run third Test win at Old Trafford,
"Obviously Monty produced his magic once again," Vaughan told reporters after stumps on Tuesday.
And he cited a textbook delivery, which pitched on middle and hit the off-stump of West Indies' Denesh Ramdin, as an example of Panesar's skill.
"It was a slower wicket with not much spin but I think the delivery which he got Ramdin out with will be a delivery that is shown to young left-arm spinners for a long time. It was a perfect spinning delivery.
"He's offering control and giving it a good rip."
But Vaughan, who ended the match on 48 not out, said England had been put in a position to win by a stand of 169 between Paul Collingwood, who made 128 on his Durham home ground, and wicket-keeper Matthew Prior.
That helped revive England from 165 for six before they were eventually bowled out for 400 - a first innings lead of 113.
"Trying to force a victory from the position looked a long shot but full credit to the batsmen and Paul Collingwood in particular for getting a hundred on his home ground," said Vaughan.
"That partnership with Matthew Prior certainly swayed the momentum towards us. When you get a hundred lead you always know there's only one team who can win the game."
England's success in their first Test campaign since a 5-0 Ashes hammering in Australia gave Peter Moores a win in his debut series as England coach after he replaced Duncan Fletcher.
"It's a great start for Peter Moores," said Vaughan. "What we did do is win all the crucial sessions and every time we needed a partnership or a wicket we got one."