The head of the Tasmanian Liberals has disputed claims from dumped federal minister Eric Abetz that "hundreds" of people have resigned from the party since Malcolm Turnbull became Prime Minister.

The former employment minister and leader of the house in the Senate — who lost both roles under new Prime Minister Malcolm Turnbull — emailed supporters on Wednesday, saying members "owed allegiance" to party beliefs despite the change in leadership.

Senator Abetz reported "hundreds of resignations from the Liberal Party" following the leadership spill two weeks ago.

"It is disappointing to hear of a spate of resignations from the Liberal Party and of threats not to renew memberships over the recent federal leadership change in the Liberal Party," he said.

"The Liberal Party has always been bigger than the person who holds the position of federal leader of the parliamentary party from time to time."

But Geoff Page, the president of the Liberal Party in Tasmania, said only 10 people had left in his state citing the leadership change.

"In light of media reports today, I wish to provide the facts in relation to resignations from the Tasmanian division," Mr Page said on Facebook on Wednesday.

"Since the change of leadership of the federal Liberal Party on September 14, we have had seven resignations and three unfinancial members choosing not to renew citing the leadership change.

"During this period we have also had eight applications from new members wishing to join the Liberal Party.

"While any resignation of any member is regrettable, we need to keep a sense of proportion about this given that it is a matter of public record that the Tasmanian division's membership numbers over 2,000."

A spokesman for Senator Abetz later said the figure in the email referred to the number of resignations from the party nation-wide, not just Tasmania.

He was unable to provide a specific number of members in Australia who had resigned.

Abetz would continue work from backbench

In his email, Senator Abetz noted his own removal from the ministry, stating that he understood the core constituency felt disenfranchised, but would continue his work "albeit from the backbench".

He has indicated that he intends to contest the next election to continue serving as a senator for Tasmania and has asked supporters for donations to help his campaign.

The email came a day after former prime minister Tony Abbott's extensive interview on commercial radio, where he too urged voters to stand by the party.

Mr Abbott told 2GB's Ray Hadley he wanted his demise to mark the end of the revolving door of prime ministers.

"My hope is what happened a fortnight ago finishes all of this stuff, that we get right away from this concept of changing the leader like you might change your clothes to suit the fashion," Mr Abbott said.

"Our country is better than that."

Mr Abbott said it would be terrible if voters abandoned the Coalition because of the leadership change.

"I can appreciate that there are a lot of people out there who are dismayed by what's happened, but as I said, it would be even worse if we were to end up with a sixth prime minister in six years," he said.

"Even if they have to do it through gritted teeth, support the Coalition, support the Prime Minister, support the Government."