“I think you mentioned correctly that this is unfair,” Radrizzani told BBC Sport.
“I imagine in two years’ time we will have nine clubs with £100million budgets and the other 15 clubs with much less budgets, so we play different leagues.
“I think that this maybe, at a certain point, should be regulated in a way that can close the gap.”
Radrizzani, who completed his buy-out of former owner Massimo Cellino in May, said he had invested £100million in the club.
“But at the same time I’m focused on my team. I believe football is much more than money,” he said.
“It’s been shown in the last two years with clubs like Reading and Huddersfield reaching the (Championship play-off) final at Wembley, it’s been shown in the Premier League with Leicester.
“Budget and money are important, but I think the project, the team, the motivation we have, the conviction we have, the quality of player we have, we can make it with a lower budget, if we are convinced and work very hard for that.”
Radrizzani, who bought back Elland Road from private investors in June, said a top-six finish was the club’s minimum target this season.
“We need to compete at the top of the league and be in the top six,” he added. “A play-off place is the minimum requirement.
“I’d welcome promotion as a nice surprise but our target is the play-offs.”