Nathan Lyon is refusing to give up hope on featuring for Australia at their home ICC Men's T20 World Cup despite missing out on selection against Sri Lanka and Pakistan.

The spinner has only made two T20I appearances for his country – the last of those coming a year ago – and is not included for his country's upcoming series in 20-over cricket.

But Lyon, Australia's third-highest wicket-taker in Tests, still wants to play in all three formats and will continue to make himself available.

"Definitely I want to put my hand up for all games of cricket, especially for Australia," he said.

"Whatever game I play cricket for, I just need to make sure I'm doing my job and if I keep putting my hand up for selection, who knows where that may lead to?"

Lyon, who was facing a similar battle prior to the 50-over World Cup before entering as Australia's front-line spinner, insists there is no issue with chairman of selectors Trevor Hohns.

"He just called me and told me I wasn't in," he added.

"But I had a really good chat to Cracker [Hohns] – I get along really well with him – so if I have any issues with Cracker, I'll just pick up the phone.

"There's no doubt. I have the absolute utmost respect for him so there's no dramas there."