Fulham were far from their best in Lancashire, but kept their shape at the back and held out a lively Bolton attack. Hodgson knew it would be a tough encounter at the Reebok Stadium and was pleased with his side's character and mental strength.
"I'm pleased. Of course I am. These were two very tough games," he told Sky Sports. "Today we were coming here against a rampant Bolton side. They play their football well and put you under pressure.
"They are good at keeping the ball in and around the box. I'm delighted with the goalless draw. We consider ourselves fortunate, but it was a brave performance. I'm really quite satisfied. We have an awful lot of players missing. I thought the lads who came in did really well.
"We were lucky today that (Mark) Schwarzer was in magnificent form and that the back four were very strong. I was pleased with the determination and the character to get the point."
Kevin Davies thought he had scored a late winner only for referee Mark Clattenburg to rule out the goal for a push on Brede Hangeland.
After reviewing the effort on a video replay Hodgson felt the correct decision was made. "I do honestly believe having seen the video that it was a good decision," he added. "They will consider themselves hard done by."