The Bavarians, chasing a treble of domestic and European titles, eased past Olympique Marseille 2-0 on Tuesday for a 4-0 aggregate victory to move into the last four for the second time in three seasons.
While Real have yet to qualify, it is unlikely they will concede four goals at home against APOEL Nicosia on Wednesday following their comfortable 3-0 win in Cyprus last week.
"I think that we will play them [Real] because it is extremely difficult to get a good result at the Santiago Bernabeu," said Heynckes, who coached the Spanish giants in the past and led them to the Champions League title in 1998.
"It will be an extremely attractive semi-final. We have a history with Real which is very positive for us, very positive."
"We hope to continue this run. It is a semi-final where either team have chances to go through. They will be very tight matches and we need a bit of luck as well," said Heynckes.
"But the way I see my team at the moment, we have the hunger for even more success."
"We are ready for these Bavarian weeks ahead of us. There will be a game every three or four days and we are well prepared," Rummenigge, part of the 1976 European Cup-winning team said.
"We are still in the running for three titles and we take each of them very seriously. We need to have nerves of steel and I think we have them."
It was the Portuguese coach's phenomenal treble-winning Inter Milan side that beat them in the 2010 Champions League final 2-0 to win the title.
