Skipper Chris Gayle and 12 other senior players did not play in the two-Test series defeat against Bangladesh.
But they have agreed to return after former Commonwealth Secretary General Sir Shridath Ramphal was appointed to mediate in their continuing dispute.
The West Indies board had already named a 14-man squad excluding the strikers.
Eight players from the ill-fated Test series secured places in the one-day squad, which was selected for the first two of the three-match series.
Left-handed batsman Floyd Reifer retained the captaincy despite the Test debacle and modest personal scores of 25, 29, one and three.
But the West Indies Cricket Board (WICB) can now call upon the previously unavailable players in a bid to avert another embarrassing defeat against minnows Bangladesh.
The news followed a meeting convened by Guyana President Bharrat Jagdeo at the request of the West Indies Players Association (Wipa).
"It was agreed that, in light of the mediation agreement the parties expect to lead to the resolution of outstanding issues, all the players will make themselves available for selection," said a joint WICB and Wipa statement.
"Both parties have taken this step, mindful of the interest of their respective organisations but conscious also of their wider responsibility to the people of the West Indies and the international sport of cricket."
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