Stimac took over as Croatia coach from Slaven Bilic after Euro 2012, and started his competitive stewardship with a 1-0 victory over Macedonia in the 2014 World Cup qualifiers on Friday.
And following Modric's €41.5 million (£33.2m) summer move from Tottenham, the 45-year-old is certain that his new fans will be in awe.
"He's a player that thinks very quickly," he told AS. "Luka sees what is happening on the pitch, so he can play anywhere. He has a great future in Spain. The Madrid fans are going to love him.
"Luka can do anything with the ball. He's not on top form, but it only shows in when he combines moves, as he doesn't have his usual strength and accuracy.
"Even so, he played beautifully [on Friday]. He was smart against a team with a lot of discipline and a very closed style."
Modric, who turned 27 on Sunday, played the full 90 minutes against Macedonia, and declared that he is looking forward to more of the same.
"I am perfect to play 90 minutes," he said.
Modric and Real Madrid travel to Sevilla on Saturday 15 looking to close the gap on rivals Barcelona.