Adding to Bethell's performances, captain Jos Buttler has returned from injury in fine form.
In the second match of the series on Sunday, Buttler looked back to his devastating best as he snared 83 off 45 balls, including six sixes.
Buttler has been out for four months through injury but said his absence left him “determined” to lead England's latest revival, which will accelerate in the new year when Brendon McCullum takes over as head coach.
McCullum said part of his job was to cheer up Buttler, who he said had felt “miserable” at times during England's recent struggles due to the limited number of players.
However, Rashid says that the smile is already back on the captain's face.
“He's pretty laid back and laid back anyway, but I think it's normal for every person not to be able to smile all the time,” he said.
“When you play cricket you always have ups and downs and maybe there are times when you don’t smile but I think that’s part of being a cricketer.”
“He showed his class when he came back. He has shown that he is capable of winning the game and how failure to play will result in failure. He is a world-class player and captain.”
Rashid, from Yorkshire, was speaking at the launch of a new charity cookbook called Taste of cricket, published by the England and Wales cricket Board to celebrate the diversity of cricket teas.
Rashid contributed with a Moroccan tagine served at Lord's, his favorite.