The 29-year-old is averaging a LaLiga goal every 273 minutes for the Blaugrana, far below his record of one every 152 minutes across five seasons at Atletico.
When asked about Olhats' remarks upon returning from international duty with Argentina on Wednesday, Messi said: "I'm tired of being to blame for everything that's wrong with the club."
Despite presiding over Griezmann's far more successful time at Atleti, Simeone was unwilling to give his opinion on why the move is yet to bear fruit ahead of his team welcoming Ronald Koeman's side to the Wanda Metropolitano on Saturday.
"I have a great personal affection for Antoine and it would not be appropriate for me to assess what is happening at Barcelona," said Simeone.
"Those questions are for the Barcelona coach, and he will explain what he sees fit."
"It wouldn't be my place to have an opinion on the coronavirus protocols," said Simeone.
"As for the positive tests that have affected us, we are part of society and some people can get it. We will have to use other players in the games and we hope Luis Suarez and Lucas recover as soon as possible.
"We are in a moment in the world in which this can happen, and it has affected us."
Barca have been in a state of turmoil since their Champions League quarter-final humiliation at the hands of Bayern Munich in August, but Simeone does not believe their tumultuous state gives Atleti a better chance of emerging from their game with all three points.
"Every game is an opportunity and obviously this is one. We will try to take the game where we can hurt them and play the game we want to," said Simeone.
"They are a rival with great standing, a squad that is being rejuvenated, but with young players with experience and an exceptional level.
"It will be hard, difficult and we will try to achieve what we want."
Atleti have failed to win in their past 20 LaLiga games against Barca, with their only worst such run against Real Madrid between 2000 and 2013.
However, they are the only undefeated team left in the division and are on a club-record 23-game unbeaten run, while Barca have only been victorious in one of their past five top-flight outings.