The French, who defeated Spain 3-2 in the other semi-final in Lille, will have home advantage in the November showdown and hope to avenge their 3-2 loss to the Croatians in the 2016 semi-final.
The world No. 6 needed two hours and 14 minutes on Friday to give his team a 2-0 lead over the United States in this semi-final tie, which is being played on outdoor clay at the Sportski centar Visnjik venue in this southwestern city, reports Efe.
Cilic couldn't recall the last time he had smashed a racquet.
Earlier, Cilic wasted a 6-1 lead in the second-set tiebreaker then completely fell apart with a series of errors under pressure from the big-serving Querrey.
The doubles result was welcome for a US team that failed to win a set in the opening two singles on Friday.
No. 6-ranked Marin Cilic, who beat Davis Cup newcomer Frances Tiafoe in the second match, faces American Steve Johnson in Sunday's first match.
"I had bigger victories, but this feeling can not be compared to any other, when the whole nation stands behind you", the 21-year-old Croat added.
"That was kind of a bitter feeling for me because I felt we were really close and we went and lost it", recalled Noah.
Querrey had never beaten Cilic in six previous meetings and, for a player whose ranking has fallen from 11th to No. 61 this year, it was an exceptional result.
Mate Pavic has become the youngest doubles world number 1 since 1996 a few months ago and this was his first Davis Cup appearance since 2014, giving his best together with Ivan Dodig in front of their crowd in Zadar but just falling short before performing a huge turnaround after losing the opening two sets.
Meanwhile, Spain won the final day singles matches against France to give the tie a more respectable 3-2 scoreline. It is the same matchup, of course, that took place in the 2018 World Cup final, won by France 4-2.