Simeone picked up an eight-game suspension after being sent to the stands during Atletico's Supercopa second leg against Real Madrid last week and reacting by tapping the fourth official on the head.
The first match of the coach's ban saw defending Liga champions Atletico - who have still not been officially presented with the league trophy - stutter to an unconvincing 0-0 draw at Madrid neighbours Rayo Vallecano on Monday.
Simeone's assistant and former Argentina team-mate Burgos took charge at the Estadio Vallecas and he will do so again as newly promoted Eibar head to the Vicente Calderon on Saturday.
"He always spreads everything he has to us; his winning spirit, confidence," the 19-year-old said.
"Of course, you can see that. German is doing immense work.
"It is very difficult to suddenly have this punishment [Simeone's ban] and [for Burgos to] have to play this role, but we know that he is prepared for it."
Eibar go into the fixture on the back of winning their first ever top-flight fixture after beating Real Sociedad 1-0 on Saturday.
Luis Enrique's Barca head to Villarreal on Sunday and they will be aiming to produce a more convincing performance at El Madrigal than they did last term.
After falling 2-0 down, Barca – who were then coached by Gerardo Martino – had to rely on three goals in the final 25 minutes to snatch victory.
Last term Carlo Ancelotti's side accumulated a 9-1 scoreline against Sociedad over the course of the two league meetings.
Europa League champions Sevilla travel to Barcelona on Saturday as both they and Espanyol hope to move past opening-day draws, while Athletic Bilbao host Levante just three days after their Champions League play-off win against Napoli.
In Friday's matches, Malaga face the tough task of leaving Valencia with a result, while Getafe welcome Almeria to Coliseum Alfonso Perez and the weekend finishes with Granada's trip to Elche.
