Squires, councillor for the Valley division, said he immediately removed his post when asked to do so.
He had only been a councillor for five months at the time of the post, he added.
Squires said: “It can be challenging for new councillors with no political experience as we have to consider that what we post is legal, meets the code of conduct, is politically relevant, does not breach the member/officer protocol, and is in line with party ideology if a councillor is a member of a political party, as I am.
“I got it wrong on this occasion.”
Squires said he had undertaken social media and code of conduct training and had “reflected carefully” on the standards expected of him as a councillor.
Squires told the BBC he accepted he should not have reposted the image identifying the staff member.
However, he said: “I make no apology whatsoever for arguing that public servants, paid by the taxpayer, should remain politically neutral.
“That’s not an extreme view.”
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