Bale joined up with the squad despite being sidelined since picking up the injury in a pre-season friendly for his club Tottenham Hotspur and had a light training session on Monday.
However, Symons told Sky Sports News there was no chance of Bale playing against the Irish at the Cardiff City Stadium.
"Gareth will do a light session. He's not done sufficient work yet to feature (in the match) but the great thing is he wanted to be part of the group and we're pleased to have him on board," he said of a player being courted by Real Madrid.
Real are willing to pay a world record transfer fee of more than 85 million pounds for the 24-year-old English Footballer of the Year, according to media reports, although Spurs have repeatedly said he is not for sale.
Asked if the hordes of Spanish journalists at the new Wales training facility at Dragon Park were a problem, Symonds said: "I don't think it will be a distraction. They only want to talk to Gareth and we know Gareth won't be featuring on Wednesday night, so I don't think it will affect the group at all."
Wales midfielder Aaron Ramsey and central defender James Collins will also miss the game having withdrawn from the squad through injury with Swansea City fullback Jazz Richards and Brighton midfielder Andrew Crofts coming in as replacements.