A product of the Brondby academy, he has already featured 70 times for the senior squad and has been heavily linked with a move away from the club.
Leicester are in the market for a goalkeeper and Hermansen has been identified as one of their top targets.
The 23-year-old is wanted at the King Power and Leicester are pushing to secure a deal to sign him this summer.
According to Danish daily BT, the Foxes have gone in with a bid to sign Hermansen from Brondby in the ongoing transfer window.
Leicester have offered a fee of €7m to Brondby to convince them to sell the goalkeeper ahead of the new season.
The two clubs are still in talks and there is no clarification on whether Brondby want to sell him.
Leicester are pushing to land the goalkeeper as they build a squad good enough to challenge for promotion to the Premier League next season.