The Firhill side recorded their fourth successive shut-out on Saturday when they beat Dumbarton 3-0 to keep up the pressure on Morton at the top of the Irn-Bru First Division.
In five matches Archibald has been in the dugout since the departure of Jackie McNamara to Dundee United, Thistle have yet to concede a goal from open play.
Ton striker Peter MacDonald's free-kick and penalty the only goals they have let in on the Firhill legend's watch.
The Jags rearguard of Stephen O'Donnell, Conrad Balatoni, Muirhead and Aaron Sinclair have excelled while Archibald has been in the dugout, and the former Annan youngster has hailed the veteran defender's impact.
Muirhead said: "He has been working with us. Even if it is only 10 minutes at the end of a session, he pulls the back four aside and gives us a few pointers.
"It has helped me and I have noticed a different in my game. It is good to have him there.
"You miss playing beside him because he's an organiser. It is different with Conrad but he is a good big player.
"Archie has always been a leader and an organiser so you miss him in that respect.
"Hopefully we will get to start calling him gaffer. He has told us to keep calling him Archie just now."
Despite Archibald stretching his unbeaten run as boss to five matches on Saturday, when a Stevie Lawless double and Kris Doolan strike gave them all three points over the Sons, it remains to be seen if he will be handed the reins on a full-time basis.
The Firhill board have not made their decision over who will replace McNamara but there is only one candidate in Muirhead's mind.
He said: "The boys have spoken about it and that is what we all want and that is what the fans want – Archie to get the job.
"Hopefully if we keep winning he will get it. That is all we can do, keep trying to get the results for him and hopefully the board appoint him.
"That is what all the boys want. He has got a good record and is unbeaten."
With another three points on the board, Thistle now head to Stark's Park tomorrow aiming to move back to the top of the table.
The Fife clash is one of their two games in hand over the Morton and Muirhead is confident the Jags can rise to the occasion.
He said: "They are all big games for us between now and the end of the season.
"We know what is asked of us and what is expected.
"The Dumbarton game is gone, we have got the three points and we need to move on to the next one.
"I am not saying that we need to win every game but we will just do our best and hopefully it is enough come the end of the season.
"I am not saying that this will be the only chance to get back to the top of the league, there will be twists and turns before the end of the season.
"We just need to take it a game at a time and see what happens. We will just keep doing our jobs and hopefully it will be enough."