Switzerland coach Jakob Kuhn pointed the finger at Russian referee Valentin Ivanov after England's 3-0 win.
After Bernt Haas' second-half red card Kuhn said: "That's the second time we've had to finish with 10 players."
Switzerland also had Johann Vogel sent off for picking up two yellow cards in their opening game against Croatia.
Kuhn added: "Everyone saw there was a foul on Patrick Muller before the second goal. I'd prefer to play 11 against 11, rather than 10 against 12."
The Switzerland coach went on to admit the loss of strikers Marc Streller and Leonard Thurre through injury before the start of Euro 2004 had damaged
his side's chances
The Swiss have still to score during the tournament.
Kuhn said: "Two of our strikers were injured during our preparations for the competition which has made things harder for us."
However, Kuhn was generous enough to heap praise on Wayne Rooney, the architect of England's triumph.
"It was a pleasure to see him in this game, even though he was playing for England and not us."