Werner joined Leipzig from boyhood club VfB Stuttgart in summer 2016, on the back of their maiden promotion to the Bundesliga, for a reported fee in the region of €10 million.
Thirty-two Bundesliga goals later, the 22-year-old is Germany's first-choice striker going into the FIFA 2018 World Cup and one of the most coveted young forwards in Europe.
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"We're definitely not going to change tack because that's got us to where we are today" Rangnick told SPORT BILD ahead of Leipzig's UEFA Europa League quarter-final second leg against Marseille.
"We're looking for young, hungry and extremely talented players who, ideally, will be signing their first or second professional contract when they come to us. That said, our accelerated sporting development has raised the benchmark for new players. We're now only looking at players with Champions League potential, but we'll stick to our guns and we won't break the bank."
More recent signings such as Bruma (23), Jean-Kevin Augustin (20), Dayot Upamecano (19) and Ibrahima Konate (18) - already with 119 first-team appearances combined this season - underline 2016/17 Bundesliga runners-up Leipzig's shrewd transfer philosophy.