The duo were sanctioned for playing in LIV Golf events while still DP World Tour members, though they appealed and the cases have yet to be resolved.
The France-based duo were among the most notable names in the 40-man group, having not featured for the national team since the 2025 championship.
Brook was made white-ball skipper last April and promoted to vice-captain of the Test team in September.
Paul Nicholls confirms Harry Cobden will sit out Cheltenham on Trials day.