Arthur, who himself is facing criticism after Pakistan's drubbing in six successive tests in Sharjah, New Zealand and Australia, said that he was hoping Misbah tours and plays for a while for Pakistan.
Misbah, who could manage just 76 runs in six innings in Australia, is expected to make a decision on his future in the coming weeks.
Arthur expected the 42-year-old to keep playing Test cricket regardless of what happened Down Under.
"His [Misbah's] career is obviously a very good one and when he does decide to retire he will go down as one of Pakistan's finest captains and batsmen."
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Arthur also revealed that the time has perhaps come for Pakistan to make tough decisions to build the team across all three formats.
"I am dedicated to making Pakistan the best team in all cricket and nothing will stand in my way. We have implemented very tough standards and challenging the players all the time to get the best out of them."
Arthur also said that despite the defeats, the resilience of his charges can't be questioned, while insisting that the experience of playing in Australia will hold them in good stead.
"Albeit we are all extremely disappointed with the way the series panned out, I really felt that we were competitive (at various stages) in this series and the players' resilience can never be questioned," he said.
"It has been very depressing for all of us losing these Test matches but I can tell you for certain that the work rate of the players and staff has been outstanding and no stone has been left unturned in terms of preparation."
"I believe that it is now very evident that almost all [major] teams dominate at home and it's getting harder to win away from home for every international team.
"This is a challenge for us going forward and I believe the players will be better for the experience of playing out here in very trying conditions," Arthur stressed.
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