Real won 1-0 on Tuesday via Gonzalo Garcia's matchwinner.
At the final whistle, Juve midfielder Locatelli told Canal 5: "Today we gave everything, even though we were playing against a very strong team. We had a great team spirit, then they managed to score and we didn't. The only match in which we did really badly was the one against City.
“Juve should never be happy if they go out, but today we are aware that we gave everything. Against City we were too submissive, we let them play too much."
With Juve's season now officially over, Locatelli also said:“It’s been long and intense. We’re tired, but we wanted to go as far as possible in this competition. Now we have to switch off and start again with more energy.
“Now we need to recover energy and take a break. We need it too."