Wolves striker Griffiths, Manchester City defender McGivern and midfielder Claros, whose parent club is Honduras' Motagua, are due to leave the club next month, with Hibs attempting to extend the deals until the end of the season.
Speaking ahead of Sunday's SPL fixture at Kilmarnock, Fenlon said: "We are working away, but we can only do so much. The final decision is outside of our control."
Fenlon is focused on Griffiths, McGivern and Claros before determining whether any further transfer window activity will take place at Easter Road.
He added: "They're the ones we're actively trying to sort out at the moment."
Midfielder Gary Deegan could start at Rugby Park after making his first appearance since suffering a fractured jaw when Hibs lost 3-2 to Motherwell last weekend.
Fenlon said: "He's got a chance. He got 75, 80 minutes this week with the under-20s. He's trained all week as well so he's champing at the bit to play."
Right-back Tim Clancy could be in the squad following a groin problem, with captain James McPake suspended following his sending-off against Motherwell on his return from a back injury.
Fenlon added: "Tim has been back in training. He'll train again Saturday, but it's a little bit early probably to be throwing him into games.
"Hopefully in the next two or three games he'll get some game time.
"We need to be careful with Tim, to make sure when we get him back in we don't set him back."
Fenlon would not be drawn on Kilmarnock counterpart Kenny Shiels' recent disciplinary indiscretions which will see the home boss banished to the stand.
"All managers have different ways of working and it's what you think gets you going, gets your players motivated," Fenlon said.
"You've got to live by that and at the end of day that's what you'll be judged on.
"We all at times as a manager do things people don't agree with. Some of the times it's a reaction to something. It's something you've got to work on yourself as a manager."
Fenlon spent the start of this season confined to the stand after being punished for a gesture during the William Hill Scottish Cup final loss to Hearts.
Fenlon said: "It's more frustrating, that's for certain, but there's benefits from watching from afar. It's difficult to influence it, but you can also see a lot of things from up there."
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