Fletcher told Sky Sports News: "The clubs I have been at, I'm used to it. The ups and downs, I am used to that kind of thing with being at Burnley and being at Wolves, so I kind of just take each day as it comes.
"We know we have got the ability to stay in this league. The players we have got, you see it in training every day, some of the performances from the lads.
"But we just need to do it as a team and do it on a Saturday, or on a Monday. Obviously if we could be safe before we were last year, it would be a bit better, but we know we have got the team to get through a bad situation, like we showed last year."
Sunderland have conceded 10 goals in their last two Premier League outings.