The 36-year-old is currently one game away from reaching the record, having been withdrawn from the Toffees side that lost to Manchester United on Sunday with an illness.
However, Distin feels that the record shows he has settled well in England.
"I'm not there yet so I'm not pleased. But if it happens then it's obviously something pretty amazing," Distin told EvertonTV.
"I don't count games to be fair so you could say to me 200, 300, 500 and I would just have said 'yes'. But overall it's not just the quantity of games, it's the quality as well.
"I just take games one after each other and enjoy my time, but they are the kind of records that you can only be pleased about. I've been here for a long time and I enjoy it here. Do I feel English? No. Do I feel comfortable? Yes."
Distin has also played in England for Newcastle United, Manchester City and Portsmouth.