Pietersen remains on the outside looking in at the England camp, following a breakdown in relations with coach Andy Flower and former Test captain Andrew Strauss.
It has been suggested in many quarters that there may be player resistance to Pietersen's return, but his fellow batsmen Morgan and Bopara both made it clear they would like to see him in the England side again.
"I think everybody would like to see him back," Morgan told Sky Sports News. "I think the general public love watching him play, and the cricketing world do as well."
Flower reportedly spoke to Pietersen face to face in a meeting two days ago, in an attempt to find some common ground as a first step towards his possible rehabilitation as an England player. The England and Wales Cricket Board have, however, refused to confirm that meeting did take place - or specify any timetable for Pietersen's return.
The 32-year-old batsman has fallen out with his employers after his protracted contract wrangles this summer were followed by revelations he texted opposition players, reportedly making "derogatory" references to Strauss, during the Test series against his native country.
Pietersen was therefore dropped for the final Test at Lord's, is playing no part in the ongoing NatWest Series against South Africa and will be absent too from England's defence of their ICC World Twenty20 crown in Sri Lanka this month.
Bopara added: "It'd be nice to see him back in England colours. He's a great player; we know he's a class player. I hope for him things turn out well."
Morgan also paid tribute to Strauss, who surprisingly called time on his England captaincy - and professional cricket career in its entirety - last week.
The Irishman owes much to Strauss, as his county and international captain.
"He's a fantastic ambassador for the game, a guy you always looked up to and admired for a very, very long time - both at Middlesex and England," said Morgan. "I've had the pleasure of playing under him, and I'd like to say thank you to him for (helping me) learn a hell of a lot."
- Andrew Strauss