The Arsenal manager claimed last week that winning domestic cups is less important than qualifying for the UEFA Champions League, despite the Gunners going seven years without a trophy.
But as Gallas and his Spurs team-mates prepare for Wednesday's Capital One Cup tie at Norwich, the ex-Arsenal centre-back is adamant trophies are everything to a player.
"For me, a trophy is something you lift at the end of the season and I know it's a fantastic feeling," said Gallas.
"It doesn't happen many times through your career, so for me to finish second or fourth isn't the same as finishing top, as champions. It's completely different.
"You feel different because you are the best team - the best player. You are so happy to lift a trophy - it's the real thing to do.
"It is a long time since Tottenham have lifted a trophy and I don't know which one we are going to lift.
"But for sure we want to lift one - any one will be pretty good so we will wait and see."
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