Fernando Torres scored after just nine minutes in the first leg of the UEFA Champions League last-16 tie as Chelsea dominated the opening half-hour, but they could not add to their lead.
Galatasaray boss Roberto Mancini changed his tactics and saw his side draw level when defender Aurelien Chedjou took advantage of slack Chelsea defending at a corner.
Gala were driven on by a raucous Turk Telecom Stadium crowd and Mourinho reckons just "10 per cent" of the same atmosphere from the Stamford Bridge crowd can help see his side through to the quarter-finals.
He told Sky Sports 1: "This is Turkey, this is Istanbul, this is Galatasaray.
"It is not easy. In the first half it was our game and we had chances to kill the game.
"I am not critical of my strikers because they had a good game, but overall when we have counter-attack situations we are missing the right pass or the right choice, and a second goal would have changed the flow of the game completely.
"In the second half they put pressure on us. They have very powerful strikers and the full-backs are both very good.
"Fernando and Schurrle were both in trouble in the second half. Fernando was exhausted and also Schurrle as well, because he had a yellow card."
Mourinho was satisfied with the result after scoring an away goal, but admitted that there was still everything to play for in the return leg.
He said: "The result is not amazing. The situation in the second leg will be difficult.
"If Stamford Bridge can give 10 per cent of what this public gives then that would be fantastic for us.
"We have to try and go through but it will be difficult.
"It is better at 1-1 than 0-0, so we cannot say it is a bad result, but obviously they are a very good team and it will be difficult at Stamford Bridge."
Frank Lampard agreed that the crowd had played a big part, admitting that Chelsea should have scored more goals when they were on top.
Lampard added: "We were disappointed at half-time we weren't more than 1-0 up because we played well, we controlled it.
"They didn't have many chances and we had four or five good counter-attacks and we're disappointed we didn't make more of them.
"Certainly the crowd (played a part), I don't know about the tactics because you always expect them to have a period, and they had a big period in the second half."
Blues manager Mourinho's supposed 'secret' comments came to light earlier this week when he was caught on camera saying: "I have a team but no striker. It is not possible for us to win the Premier League."
Mourinho also suggested 32-year-old Eto'o could be as old as 35 with other reports later emerging which claimed the Cameroon international may even be 39.
Eto'o was a late substitute in Turkey and both players insisted after the game that there were no issues with Mourinho over his comments.
Eto'o told Sky Sports News: "I am Samuel Eto'o, what can I say? If at 36 and 37 I can score three goals at Manchester City it means that I still have some juice and I can even score until I am 50.
"But I really don't care, what is really important to me is to give my maximum to the team, to help them to win some titles."
Ba said: "I am feeling good. The relationship is OK - there is nothing exciting to tell you. I just keep smiling, keep fighting, keep training well and things will come.
"That's probably the way he (Mourinho) thinks; I have my way to think as well and - nothing special - I don't have an issue with anyone."