The striker - younger brother of Motherwell's Henri - has been training with Thistle and is set to feature in a practice match on Thursday.
Archibald is keen to add to his squad and improve his side's cutting edge in front of goal.
Asked whether he has been impressed by Anier, 20, so far, the Jags boss said: "He's looked okay in training and we will have a closer look at him in a match today.
"I've not set a time on a decision, to be fair to the boy."
He added: "We are always looking for players.
"We've got a couple of trialists at the moment and we will have a look at them."