Gill, 21, has impressed in the IPL over the past two seasons, scoring 499 runs at an average of 33 for Kolkata Knight Riders.
The opener, who starred in India U19s World Cup win in 2018, will hope for more personal success this year, with the 2020 IPL starting on Saturday in Dubai.
‘It’s always exciting to watch some of the incredible young talent that comes out of India during the IPL,’ former England captain Pietersen told Betway.
‘One that I can’t wait to see again is Shubman Gill, who plays for Kolkata Knight Riders, the fourth-favourites to win this year’s competition.
‘He is a young opening batsman who I thought was very unlucky to miss out on the India squad for the World Cup in England after a brilliant 2019 IPL.
‘He averaged more than 30 as a 19-year-old during that competition. I think he’s definitely somebody that we will be watching on our television screens for a long time.
‘He’s got all the shots. He can play classical cricket, but he has the ability to turn it on and hit sixes at will. He’s young, entertaining and I think he’s got a bright future.’
Ex-England batsman Pietersen also revealed he wants Delhi Capitals to win the 2020 Indian Premier League under Australia legend Ricky Ponting and India star Shreyas Iyer.
Pietersen played for five different IPL franchises during his career and says he had his ‘best years’ at Delhi.
‘The Delhi Capitals are a favourite of mine. I had my best IPL years at Delhi,’ he added.
‘I love the ownership structure, and I am still very close to them now. I also had some of my best innings with Delhi and enjoyed a great rapport with the fans of the franchise.
‘I’d really love them to turn a corner and for everybody to fire this year.
They’ve got Ricky Ponting as their coach, Anrich Nortje and Kagiso Rabada as their overseas bowlers, and some very exciting Indian talent on their books.
‘I want them to win it.’
Virat Kohli, meanwhile, will hope to end his long wait for an Indian Premier League title at Royal Challengers Bangalore.
Pietersen says it is ‘baffling’ RCB have struggled despite boasting the likes of Kohli and AB de Villiers.
‘It’s strange that they haven’t been able to get their hands on that trophy,’ the England legend said.
‘Things might go differently for them this year, with Mike Hesson coming in to work alongside Simon Katich on the coaching staff. They need Hesson to have the Midas touch to get them over the line.
‘With Kohli and De Villiers, and now new signing Aaron Finch, everybody knows that RCB can get the runs, but are they going to get the wickets they desperately need?
‘Dale Steyn can hopefully get their bowling attack going, alongside Adam Zampa.’
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