Cricket Australia is contemplating whether future matches should fall on January 26 after scheduling a women's international fixture on the day has copped backlash from the country's leading Indigenous player.

Ash Gardner expressed concern on social media that playing on Thursday was a painful reminder of "the beginning of genocide, massacres and dispossession".

Australia meets Pakistan in the second Twenty20 international of the series in Hobart on "a day of hurt and a day of mourning" to the Muruwari woman.

This comes after Cricket Australia had taken small steps not to promote games played on January 26 with Australia Day celebrations while also not scheduling Big Bash T20 fixtures on the day this year.

Test great Jason Gillespie, who played on January 26 several times during the traditional Australia Day Test match in Adelaide, has come out and called to change the date.

The Kamilaroi man wants the national day to be one "all Australians can celebrate".

"What a lot of people don't realise is that history shows Australia Day has not always been celebrated on January 26," Gillespie told NewsCorp this week.

"The conversations need to continue to explore an alternative.''

The West Indies, who have strongly backed the Black Lives Matter movement, are set to tour Australia again next season in January and February that includes a further two Test matches to the recent series held last November.

According to Justin Mohamed, a leader for Cricket Australia's Indigenous Advisory Committee (NATSICAC), the panel plans to discuss the best way to arrange the Tests against the West Indies around the 2024 holiday weekend.

"Every year we go through the scheduling of matches – and the BBL and the WBBL have Indigenous rounds," Mohamed told The Australian.

"The West Indies, they're over next year. They'll definitely be part of what we can do with the summer of cricket and how best we can utilise that and take the opportunity to ensure we can use our great game to build a more unified Australia.

"If that means there could be that a visiting nation is interested to learn more about the First Nations people of this country, and our national side is very keen to learn more, it could be quite a unique summer for a visiting team to have that experience."

The Gooreng Gooreng man, who has had a distinguished career in Reconciliation and Aboriginal justice, does not personally want the significance of what January 26 is for Indigenous people to be lost by not playing cricket on that date.

"A sporting event or on an event like an international game could provide a platform to provide the education, the true history of what happened, and so people do not forget the significance of the day."

The governing body released a statement in regard to Indigenous cricketers speaking out publicly.

"Cricket Australia acknowledges 26 January is a day that has multiple meanings, and evokes mixed feelings in communities across our richly diverse nation," the statement said.

"We respectfully acknowledge it is a challenging day for many Aboriginal and Torres Strait Islander people, and for some people the day is regarded as a day of mourning.

"Cricket Australia understands and acknowledges Ash's position, and appreciates her leadership and the contributions of all Aboriginal and Torres Strait Islander people to the game of cricket.

"We will use the T20 international scheduled for January 26 as an opportunity to continue our ongoing education journey with First Nations people."

Cricket Australia has historically had a lamentable history of failing to encourage and select Indigenous cricketers for representative honours.

Gardner is just the second First Nations woman to represent Australia while 128 years since the 1868 Aboriginal touring party was the first Australian team to visit England.

Gillespie was the first Indigenous man to play Test cricket, and it wasn't until 2021 that Scott Boland became just the second, during the Boxing Day Test.

This century Australian cricket has introduced an Indigenous advisory panel and the Imparja Cup as a national competition, its Test players form barefoot circles before matches to better acknowledge Traditional Owners of the land, and limited-overs teams wear Indigenous-themed shirts.