Taylor was appointed Gills boss on a temporary basis on Tuesday following the club's decision to sack Martin Allen after 16 months in charge.
"I've told all the players that it's a fresh start for everybody," Taylor told the club's official website.
"There will be players that didn't play under Martin who will have a point to prove, it's up to them to prove to a new coach that they should be in the team.
"The ones that are, it's up to them to make sure they don't take their foot off and stay in the team - everybody has a challenge really."
The former England Under-21 manager has not ruled out the possibility of taking the job on a permanent basis.