Dumped cabinet minister Eric Abetz has emailed Liberal Party members saying he understands why they would feel "disenfranchised" by the demotions of conservatives following Tony Abbott's ousting as prime minister.

In a letter sent to members at lunchtime Wednesday, Senator Abetz also expressed "disappointment" at what he said were a "hundreds of resignations" from the Liberal Party since Malcolm Turnbull was reinstated as leader.

But Senator Abetz's claim of "hundreds" of resignations was immediately disputed by the President of the Tasmanian Liberals who said only 7 members had quit and that had been outweighed by 8 new applications to join.

"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 2000," President Geoff Page wrote on Facebook.