The Express & Star says Foster, who is 31 and only came out of international retirement in February 2013, replaces first choice Joe Hart to become the first Baggies player to represent England in the tournament since Astle in Mexico in 1970.
Albion goalkeeping coach Dean Kiely welcomed Foster's selection and insisted he wouldn't let anyone down.
"He thoroughly deserves it - he made a really big contribution to our season and was a really big player for us," said Kiely. "He will be fine. I see him every day in training and he's a player of vast Premier League experience and one who doesn't let anything faze him, so he'll take it in his stride."
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