The move was a formality after a judge dismissed the case in London's High Court last week when the government cancelled the West Ham deal, saying it had become "bogged down" in legal challenges which threatened the date for the stadium's re-opening and its bid for the 2017 World Championships.
Tottenham had threatened to take various parties to court over legal costs, but all sides on Monday agreed to pay their own.
Third-tier club Leyton Orient, which had also challenged the stadium decision on the grounds that it could force them out of business, will pursue their case for legal costs against West Ham's bid partner Newham Council.
"We have submitted an application for permission to move to the Football League, and that permission is something that West Ham don't have yet," Hearn said in a club statement.
"It was the Premier League who gave [West Ham] the green light to move in their original plan, but they are no longer members of the Premier League."
