The draw was conducted on Friday morning, and the Liga giants will fancy their chances of progressing after avoiding favorite Barcelona as well as Bundesliga leader Bayern Munich and Serie A table-topper Juventus.
Butragueno says despite the history shared between the Portuguese coach and the Gala players whom he coached - Drogba at Chelsea and Sneijder at Inter - the friendship will not affect Mourinho's desire for victory.
"They have an extraordinary relationship, but that happens quite often, and now they have different goals and they will do their best to help Galatasaray," Butragueno told Goal.com. "Mourinho will of course want us to be here again for the semifinal draw and before the game and after the game I'm sure [they'll talk], but during the game we will be focused on our goals."
The former Spain striker is well aware of the threat Sneijder and Drogba will pose on the field, too.
"Galatasaray are here because they deserve to be here," Butragueno said. "They have a very good team, and with Drogba and Sneijder they are stronger, so we have to be very respectful because they have shown they are very competitive.
"With the first leg at home, we need a good result to take to Turkey. There'll be an incredible atmosphere over there."
With Barcelona and Real Madrid having avoided each other in the quarterfinals there is now a possibility that the Liga giants could face each other in the final, but Butragueno is only focused on the game at hand.
"That's very far ahead so we have to be focused on Galatasaray, try to do our best, try to qualify for the semifinals, and then we'll see."