"There's no harm putting your name in," Verma told Radio Sport.
"Last year I got cut early and I spoke to [Royal Challengers Bangalore coach] Daniel Vettori who said our T20 competition [the Burger King Super Smash] was not as well recognised [as others].
"This year I think we've proven our cricketing standards are good compared with around the world - and it was televised in India, which is a huge help for all our players with those aspirations."
Verma said franchises should consider why New Zealand is the world's No.1 ranked T20 side.
"In New Zealand we play on good pitches in small grounds which can be quite windy.
"The Big Bash [in Australia] is a slightly different game, played on bigger grounds where you don't have to bowl many yorkers.
"You can bowl more into the wicket because the boundaries are so big square. We've got some of the best bowlers and batsmen in the world, which shows our domestic competition is going along nicely."
Verma played seven matches for Wellington in this year's Super Smash. He bowled 19 overs and took 10 wickets at an economy rate of 10 and strike rate of 11, the second best behind Canterbury's Andrew Ellis among those who delivered more than 15 overs.
He was given the opportunity to sum up why he should be picked.
"I've bowled a lot of death overs since I've been playing. You've got to be able to execute those under pressure."
Verma plans to "keep an eye" on proceedings, possibly after he finishes a Ford Trophy one-dayer against his former team Northern Districts at the Basin Reserve.
The 27-year-old was asked whether it would be life-changing if he got picked.
"The money would be good, but it's not the be-all-and-end-all. The experience to help my cricketing development would be awesome, particularly rubbing shoulders with the best players in the world."
