Archer is only three games into his international career, with just two ODIs and a T20I in England colours to his name.
Such is his impact, particularly his ability to bowl over 90mph, that Vaughan wants him to feature in both the Ashes and the ODI World Cup.
"I would be absolutely staggered if he's not taking part in the Ashes series as well as the World Cup," Vaughan told reporters in London.
"He's just got a gift and when you get that kind of quality you have to get those players involved in all formats of the game," the former England skipper and veteran of 82 Tests added.
"He'll win England World Cup games, he'll win them T20 games and I'm very, very confident that he'll have a big say in winning Test matches this summer as well as down the years."
Joe Root, England Test skipper, was more guarded when asked about Archer's future in the longer format.
"When you watch him play in these games, you are always looking towards the Ashes," he said.
"It will be interesting to see how he develops throughout these games and how he handles everything but so far I think he's been fine."
Vaughan acknowledged that Root had to be more guarded.
"He's outstanding," said Vaughan. "He's different, he plays cricket in the way I wished I could have played the game in terms of mentality.
"You speak to any psychologist and they will say 'you've just got to play another game'. It's very difficult at the highest level, there's just too much going on in people's minds," the former top-order batsman added.
"I see no reason, whether it's another game for the Hobart Hurricanes, the Rajasthan Royals to England in coloured clothes, to putting the whites on and playing Test match cricket -- he bowls 90 mph, he's got the skill levels.
"He (also) bats, he fields like a gun. He'll be playing Test cricket soon.
"I will drive personally to Sheffield and drag him (Root) out of bed if he (Archer) is not involved in some stage during the Ashes."
Stuart Broad also endorsed Vaughan's words.
"He's quick, he's exciting," said Broad.
"His action is repeatable. He's got great rhythm to his run-up, he generates effortless pace, has got control and bounce. He's got all the attributes to succeed."