McCullum sees India series as ideal prep for Champions Trophy
The tourists, led by Jos Buttler, will face India in the first of five T20 internationals at Kolkata's Eden Gardens on Wednesday.
The India series marks England's first limited-overs tour under McCullum, previously in charge only of the Test side.
"I'm desperate for us to play a really watchable brand of cricket," McCullum told reporters. "With the talent we have, there's no reason we can't."
The teams will play three one-day matches, before they move into the eight-team ODI Champions Trophy starting February 19 in Pakistan and Dubai.
"We'll use the next few weeks to try and hit the ground running, I'm sure there will be some times where we don't quite get it right," he added.
"But, hopefully, we will chisel away at that over the next few weeks, and we'll be in good shape come that Champions Trophy."
The 43-year-old McCullum said Buttler, who will only play as a batsman and not keep wicket on the tour, will leave a lasting legacy as England's white-ball leader.
"He's in a really good space, he's excited about the team we've got, and excited about the opportunity that sits in front of us," the former New Zealand skipper said.
"I'm sure we'll see Jos over the next couple of years really enjoy himself, and hopefully finish with a real strong enjoyment for the game at the back end of his career."
But India, led by Suryakumar Yadav, remain the favourites on home turf -- and have been boosted by the return of fast bowler Mohammed Shami after he recovered from a foot injury.
Shami, 34, last played for India in the ODI World Cup final in November 2023 and recently participated in a few domestic matches to mark his return to competitive cricket.
"It's a really good sign for us," India's T20 vice-captain Axar Patel said. "We hope he continues what he did in the World Cup."