Saadane also conceded that Giovanni Trapattoni's men should be the ones travelling to South Africa on the evidence of the home side's performance against his men.
Belaid and Boudebouz were named in a preliminary squad of 25 by Algeria coach Rabah Saadane this month for their pre-World Cup preparations, which start in Switzerland on Thursday.
Saadane's decision to delay his team's first World Cup warm-up until just a fortnight before kick-off now appears to have been misguided as his team looked rusty and disorganised in Dublin.
The triumph is also a personal victory for Algeria coach Rabah Saadane, who was at the helm when Algeria last reached the finals in 1986, while their first appearance was four years earlier.