The Sheffield Wednesday defender made his national team debut in March.
Clarke named his first squad as Scotland manager on Tuesday, having quit Kilmarnock at the end of the season.
And Palmer has kept his place - despite what was a disappointing debut in Kazakhstan two months ago.
The 27-year-old was an almost ever-present for Sheffield Wednesday in the second half of last season, and impressed at both right- and left-back.
But for those who perhaps have not seen as much of Palmer in action, the decision to include him is a baffling one.
This is what those of a Scotland persuasion are saying on Twitter...
25 strong + Morgan and Palmer— Mr Saviour (@SproutySprouts) May 28, 2019
Liam Palmer ♂️— Stu C (@stucrook) May 28, 2019
Good grief Liam Palmer in the scotland squad. Happy enough with everyone else.— Alex Murray (@Alex_Murray92) May 28, 2019
Liam Palmer is no where near good enough and as for the strikers— Jason Shaw (@Jason_M_Shaw) May 28, 2019
Liam Palmer? F*** me, games ******!
Debut or not, Liam Palmer was honking against Kazakhstan! Deserved to be there my arse!— @AndyStewart✌ (@4ndyStewart) May 28, 2019
Squad’s pissed me off. 4 goalies in it is ridiculous. The killie love in surely needs binned and players like Jon McLaughlin, Liam Palmer, Mikey Devlin and shinnie should be nowhere near it. Belgium will be a laugh atleast, let’s hope the sun is shinning and bevy isn’t too dear.— Ryan Couser (@RyanCouserRRFC) May 28, 2019
Mulgrew, Palmer, Devlin, picking four keepers and no Davie Turnbull no impressed so far ♂️— Stuart McCallum (@Stu_MFC87) May 28, 2019
Burke— Scott stafford (@scottstafford87) May 28, 2019
Should be nowhere near that squad
Clarke has named four of his former Kilmarnock players in the squad to face Cyprus and Belgium next month - three of whom are uncapped.
But the Nottinghamshire native, Palmer, is Sheffield Wednesday's only representative, with Scotland regulars Barry Bannan and Steven Fletcher each omitted.
Bannan and Fletcher have 60 caps between them.
Does the Sheffield Wednesday man deserve his inclusion?
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