We played well for spells against the La Liga giants at the Allianz Arena but were undone by a goal in each half from Jese and Gareth Bale.
We now face AC Milan later this afternoon (Wednesday, 5.15pm UK time) while Real take on hosts Bayern Munich.
“Real Madrid is a team with great quality but we matched them in the first half and in the second half, we had a lot of the ball but their experience was important, we struggled to create a lot and they ended up winning 2-0,” said Jan.
“There is disappointment in the dressing room which shows what we want to achieve this season.
“Yes, it’s a pre-season game but we take it very seriously. We wanted to win this game.
“We gave everything and perhaps we deserved more against one of the best teams in the world but Real Madrid had the experience to win the game.”