"I think for the sake of the country she should just go, she should have gone yesterday to be honest with you, but for the sake of the country the sooner she steps down the better. Hopefully the Conservatives then see sense and replace her with a Brexiteer", he argued.
The prime minister’s now widely discredited attempt to reintroduce her thrice defeated Brexit bill for a potential fourth vote is unlikely to pass, he said.
"[The bill] is very much more of the same, there's very little that's changed apart from the vote she's offering on whether or not we have a second referendum. I think the logic here is just desperation as she's just trying to cling on to power", Eardley said.
Eardley continued on by saying tat this was a key factor in why negotiations between Labour leader Jeremy Corbyn and the prime minister ultimately broke down, with the two being "polar opposites" on how to proceed.
"I think it was inevitable that Theresa May and Jeremy Corbyn couldn't ever reach any kind of compromise. They are polar opposites. It's a complete dichotomy with Labour", he stressed.
"People have said that she's thrown everything at this deal as she wants to get some sort of legacy, but I don't think she'll be left with any kind of legacy whatsoever", the lawmaker added.
May is widely seen to have miscalculated, given the emergence of entrenched opposition inside and outside her own Conservative party, specifically in relation to the possibility of a continued Customs Union and a final public vote if and when parliament approves a deal.
Corbyn also claimed what was being proposed was in fact a "rehash" of the government's position that had already been presented in the now terminated cross party talks. Labour's Brexit Minister Kier Starmer also described her proposition as far too weak, claiming May should now admit defeat.
READ MORE: UK PM May on Brexit: You Need a Deal First Before Second Referendum (VIDEO)
May's latest efforts mark a potential final attempt to secure an organised exit from the European Union, a process triggered almost three years ago when the UK public voted in favor of leaving.
The election is now widely being seen as an opportunity for euroskeptic voters to punish the Conservative party for perceived failures over the Brexit process, with recent polls showing the newly formed Brexit Party still ahead on around 33 percent of the potential vote.