"Dowie asked how I felt about it and told me I am a big part of his plans and he does not want me to go.
"It was good to hear him say that because you can sense things but when people tell you there is no doubt."
Routledge admits his contract situation has been distracting, but added: "I am waiting to see what I will be offered."
Meanwhile, team-mate Aki Riihilahti has revealed Dowie helped the players prepare for the Arsenal game by showing them a video of the Rumble in the Jungle, Muhammad Ali's legendary victory against George Foreman in
1974.
"It was inspirational," Riihilahti said. "The message was clear. Nothing is impossible."
Palace are away to Manchester United in the Carling Cup on Wednesday.