Alexander was installed as successor to Micky Mellon on Thursday afternoon, just five days after a third consecutive defeat in last weekend's FA Cup tie against Aldershot cost Mellon his job.
That was despite leading the Cod Army to two promotions in the past three seasons and Alexander inherits a squad occupying the final npower League Two play-off spot on his first full-time managerial assignment, where he will be joined by Chris Lucketti in a yet-to-be-defined role among the backroom staff following the pair's successful work together with Preston's youth development squad this season.
Victory at the weekend will move Fleetwood above Paul Sturrock's 5th-placed Shrimpers, but that is as far into the future the former North End and Burnley man is allowing himself to look
"I'm thinking 'get a win against Southend on Saturday' - that is honestly it," said the 41-year-old.
"Until I've had enough period of time to really evaluate the squad and see where we might have to change or trim it - for a start I do think it's slightly too large to be a competitive squad.
"It's one of those things that we'll be looking at with the chairman, with the other staff.
"Then along the way we'll evaluate all the players and see how they are once they get on board with how we're going to do things and take it from there really.
"I've got no set agendas or targets for the squad other than to win the game on Saturday and take it from after that."