Tardelli said that the Irish would go into the back-to-back games "well prepared and confident".
"We held a successful training camp in May and played a number of competitive and challenging friendly matches over the summer," added the Republic assistant.
"Playing Armenia in Yerevan will be a tough test for the team but when we return to play our first competitive home game four days later, we hope to go to Aviva stadium having made a positive start to the campaign."
Trapattoni, 71, is continuing his recuperation after undergoing surgery for an surgery for an abdominal complaint.
The Irish manager is confident that he will be fit to travel with the squad to Armenia.
Republic of Ireland squad: Given (Manchester City), Westwood (Coventry City), Murphy (Scunthorpe Utd), O'Shea (Manchester Utd), Dunne (Aston Villa), St Ledger (Preston North End), Cunningham (Manchester City), Foley (Wolves), Kelly (Fulham), McShane (Hull City), O'Dea (Celtic), Kilbane (Hull City), Andrews (Blackburn Rovers), Whelan (Stoke City), Gibson (Manchester Utd), Green (Derby County), Lawrence (Stoke City), McGeady (Spartak Moscow), Keogh (Wolves), Duff (Fulham), Fahey (Birmingham City), Treacy (Preston North End), Keane (Tottenham Hotspur), Doyle (Wolves), Long (Reading).
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