The Mexican took over after the sacking of Mauricio Pochettino in November with the club rooted to the bottom of La Liga, but since then under the 54-year-old's guidance, the Catalan side have moved up to 13th place.
Simao, who spent two seasons under Aguirre at Atletico Madrid, believes he is the best man for the job.
"He [Aguirre] is the ideal coach to carry out a project," he told reporters.
"I have spent two fantastic seasons with him at Atletico Madrid and do not have any doubts. He has already shown his great work before and is of a higher level.
"We are looking no further than the next game [against Rayo Vallecano]; if we do not think like that something will go wrong.”
The Portugal winger also spoke about his own future with just over 12 months left on his current deal.
He added: "I still have a year left on my contract with Espanyol, but if I don’t suffer with injuries I want to keep playing. I am happy to play and to help the team."