Suker played for Dinamo from 1989 to 1991, before joining Real in 1996 after a spell with Sevilla, and the former striker believes a clash of such magnitude is important for the Croatian outfit.
"This match is like a Champions League final for Dinamo," Suker told UEFA's official website.
"Do I have advice for the Dinamo players? They should not think about the result - Real regularly score five, but I hope that will not be the case in Zagreb.
Dinamo qualified for the Champions League qualifying round in 2000, 2003, 2006, 2007, 2008, and 2009 but were never able to negotiate their progress through to the group stage till this season.
And while the odds of making further progress are firmly against them, having been drawn alongside Real, Lyon and Ajax, Suker believes Dinamo should make the most of their opportunity to play in Europe's premier club competition.
"Dinamo finally took that last step [qualifying for the group stage], and I am so glad we will play against my other former club Real Madrid.
"I am looking forward to meeting them here and being their host in Zagreb.
"The Champions League is important for us [Dinamo], it's like a World Cup, these are the strongest and the most attractive matches in the world.
"Dinamo have made really huge efforts in the last decade. They invested a lot and they were close a few times.
"But it's football, some teams are investing €100million, €200m or even €500m and they don't reach a Champions League group stage."
Suker won a La Liga title with Real in 1997 as well as the UEFA Champions League the following year, and was part of the Croatian side that finished third at the 1998 World Cup in France.