The final squad will take on New Zealand and Scotland in Aberdeen on July 1 and July 2.
William Porterfield and Niall O'Brien will play no part in any of the games. Both are currently playing in the Twenty20 Cup, and Gloucestershire take on Northamptonshire in a four day game starting on Sunday.
Explaining his decision to opt for Gloucestershire, Porterfield said, "It's definitely the hardest decision I've ever had to make, and I didn't think it would come so early in my time at Gloucester. I'm just embarking on my professional career, and trying to cement my place in the team. The injury to Craig Spearman has given me an opportunity to stake a claim for a permanent position, and I have to take it. If I don't, somebody else will. I'm in possession at the moment, and I've been assured of my place in the team for the four day game. I feel it's the right decision for me at this stage in my career."
Ireland coach Phil Simmons said of the decision by his captain to choose Gloucestershire ahead of Ireland, "It's obviously not ideal, but I understand his situation as he tries to establish himself in the county game. He's a professional, and that's his job. It's hard for us losing both Niall and William, but we have got good depth to the squad, and we are also boosted by the availability of Gary Wilson and Eoin Morgan."
Kyle McCallan has been named captain for all three games, while former captain Trent Johnston will return to Ireland colours for the Twenty20 clash at Eglinton on Friday.
Ireland Squad for ODI's with New Zealand and Scotland - July 1st and 2nd
K McCallan (Captain) (Waringstown)
A Botha (North County)
P Connell (North Down)
A Cusack (Clontarf)
P Eaglestone (Strabane)
T Fourie (Railway Union)
G Kidd (Waringstown)
E Morgan (Middlesex)
A Poynter (Clontarf)
P Stirling (Cliftonville)
R Strydom (North County)
A White (Instonians)
G Wilson (Surrey)
Ireland squad for T20 v Bangladesh 'A' - Eglinton Friday June 27 at 4:30pm
K McCallan (Captain) (Waringstown)
A Botha (North County)
P Connell (North Down)
A Cusack (Clontarf)
P Eaglestone (Strabane)
T Fourie (Railway Union)
J Hall (Waringstown)
T Johnston (Railway Union)
G Kidd (Waringstown)
F McAllister (Rush)
P Stirling (Cliftonville)
R Strydom (North County)
A White (Instonians)
Ireland squad v Bangladesh 'A' - 50 over game at Bangor - Sunday June 29
K McCallan (Captain) (Waringstown)
A Botha (North County)
P Connell (North Down)
A Cusack (Clontarf)
P Eaglestone (Strabane)
T Fourie (Railway Union)
J Hall (Waringstown)
G Kidd (Waringstown)
A Poynter (Clontarf)
P Stirling (Cliftonville)
R Strydom (North County)
A White (Instonians)
G Wilson (Surrey)
