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However, the 26-year-old City winger fell well short of his impressive 31-goal tally in the 2019-20 season.
Meanwhile, Rashford scored 21 times for Manchester United last season, but he narrowly missed out on matching or bettering his goalscoring haul (22) for the 2019-20 campaign.
Yet the England boss has a stellar selection of attacking options and Sterling and Rashford could find it difficult to make the Three Lions' starting XI for their opening Euro 2020 match.
Keane expects both England stars to start against Croatia as he backed them both to make an impact at the tournament.
Speaking to Micah Richards on his new Sky Sports show, the United legend said: "Sometimes you look at players who have had a quiet spell; quiet because they've set such high standards.
"Rashford and Sterling, for example. But I think that is a good thing. You're going into the tournament going, 'These lads are ready to explode.'"
Keane added: "Gareth definitely likes Rashford and Sterling."
Jack Grealish has impressed England fans with his recent showings against Austria and Romania ahead of Euro 2020.
But the 25-year-old Aston Villa star faces tough competition from the likes of Phil Foden and Mason Mount in securing a place in England's XI.
Keane doesn't expect Grealish to start under Southgate as it would "leave out Mount or Foden."
The 49-year-old Irishman explained: "Listen, I like Jack. But I think if Jack is playing, you have to be realistic, Micah. You'd have to leave out Mount or Foden."
England are in Group D at Euro 2020 alongside the Czech Republic, Scotland and Croatia.
The Three Lions, who are considered as one of the favourites, will clash with 2018 World Cup finalists Croatia on 13th June at Wembley Stadium.
Keane predicted that England will reach the semi-finals, saying that they "may be caught out."
The former Red Devils skipper said: "I'm going to probably say the semi-final. They may be caught out."
Featured Image Credit: PA
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