Mickey Arthur says Misbah-ul-Haq and Younis Khan will be allowed to leave the Pakistan Test team on their own terms amid dips in form from both.
Rain brought day one of the second Test with Australia to a premature close with Pakistan at 142-4, with Azhar Ali unbeaten on 66 and Younis and Misbah both falling cheaply to Jackson Bird.
Younis was bowled through the gate for 21, while captain Misbah was undone by a superb catch from Nic Maddinson for 11.
Both have struggled since they each posted half-centuries against West Indies in Sharjah in October, Misbah's best effort a 31 versus New Zealand last month.
In his six Test innings prior to a 65 in the defeat to Australia in the first match in Brisbane, Younis had been dismissed for single-figure scores five times.
But asked about the 42-year-old Misbah and 39-year-old Younis, head coach Arthur said: "Only they would know [what the future holds]. But we back them massively in the dressing room. That's all I can say. Ultimately they will decide when they think the time is right.
"But within our dressing room they are held in such high esteem and we back them every time they go out and play. There's no doubt in our dressing room about Younis and Misbah.
"One's been an inspirational leader for the last six years and the other guy is closing in on 10,000 Test runs [Younis]. They've earned the right in a massive way. And again the esteem they are held in within the dressing room is second to none.
"They've earned the right so if they want to continue, fantastic, because that's what we want as a cricket team.
"If they don't, we feel we are starting to make enough ground in terms of bringing other players through.
"The longer they can be around that dressing room the better it is for the Sami Aslams, the Babar Azams, the Azhar Alis, the Sharjeels, the young guys who are with us."