The Coptic parishes I've attended they wore shoes. I take mine off at ALL Divine Liturgies out of habit, and at the Coptic Church I am the only one in bare feet
But in Coptic parishes, everyone does take their shoes off before going to Communion, reading the Gospel, entering the Sanctuary, etc.
Traditionally, everyone took their shoes off before entering the Church, and I'm told that at some Churches in Egypt, especially those without pews, people continue to do so. It is a custom though, there is no canon demanding it.
At my church, many people do take their shoes off before entering the Church. Most of the Eritreans and Ethiopians do, and a some of the Copts and converts do. This can be a problem, since it's a converted Protestant building, and there's no good space to leave the shoes, so the Narthex fills up with them, since people don't realize the narthex is part of the Church... then the kids who are crying and playing in the Narthex want to wear everyone's shoes... I taught my son to run down to the basement and yell "shoes off" before going up to the Church ,since if I wait for Communion to take them off he's too tired, and screams until Communion is over and he can have them back...