Meanwhile, Deputy First Minister Kate Forbes said Flynn would be a “brilliant asset” to the Scottish Parliament.
Last year she criticised Ross, who was an MP, MSP and professional football referee at the time, branding him “three jobs”, external.
Responding to Flynn’s announcement, she added: “The beauty of democracy is that it ultimately will be a decision for the local electorate as to who represents them, both within the party and within the public.
“Now, most recently, that was put to the test with Douglas Ross, he wasn’t returned as the MP, and therefore it proves the point that democracy works.”
Gethins, who represents Arbroath and Broughty Ferry, told the Courier newspaper he had submitted an application to keep his vetting papers “up to date” and noted there were no local vacancies for SNP candidates.
The MP told the Courier he would like to return at “some point” to Holyrood, where he formerly worked as a government adviser. However, he said his priority was representing his constituents at the UK parliament.
Dave Doogan confirmed that he has submitted for SNP vetting in advance of the 2026 election. He did not confirm that he would stand, saying it was “not a statement of intent” but would mean running remained a possibility.
Doogan said that if he did stand for Holyrood, and was elected, then it would be “reasonable” for him to serve as both an MP and an MSP consecutively.
The SNP MP told Politics Scotland “it is possible to do both jobs” if the “bulk” of constituents being represented were the same in both parliaments.
BBC Scotland News understands that SNP Westminster colleagues Pete Wishart Brendan O’Hara, Kirsty Blackman, Chris Law and Graham Leadbitter have not put their names forward for selection.