Davids, who is leaving Ajax for Milan in a pounds 3.5m deal after Euro 96, was surprisingly dropped from the starting line-up for the Group A match against Switzerland on Thursday, which the Dutch won 2-0.
Davids was quoted in Friday's De Volkskrant newspaper as saying: "This was once [being omitted], but never again. I won't accept it the next time. The coach listens too much to other players." Asked whether he expected to be sent home by his coach, Davids said: "We'll just have to wait and see."
Romania have lodged an official complaint about referee Peter Mikkelsen's handling of Thursday's defeat against Bulgaria at St James' Park.
Trailing to Hristo Stoichkov's early goal, the Danish official disallowed an equaliser from Dorinel Munteanu after his 30-yard shot hit the bar and bounced over the line.
The Romanians were so furious they held a meeting immediately after the match, and their federation issued a statement to Uefa, the European governing body, which said: "We would like to convey our deep disappointment and indignation in which our national team was deprived, totally unjustly and totally unfairly, of the chance of competing in a fair and unhindered tournament.
"We are referring to that grave and undisputed refereeing decision in the 31st minute when a perfectly valid goal was not allowed to stand."
The Football Supporters' Association has backed Romania's complaint and urged Fifa, the world governing body, to investigate ways of introducing electronic equipment to judge whether or not the ball has crossed the line.Reuse content