The Clarets were relegated after just one year in the top flight last season but hopes are high at Turf Moore that Brian Laws' men can make a serious challenge again this term.
Alexander said: "The reality is that we are back in the Championship and if we want to taste the Premier League again next year we've got to put the hard work in this season.
"That's the target for everyone. We want to get back into the Premier League.
"Even though it ended in disappointment we really enjoyed the nine months in the Premier League and I think all the fans did as well.
"We gave a few bloody noses to people along the way and it's just disappointing we got relegated. But we've got to put that to the back of our minds and get on with what we're doing this year."