Liverpool manager Brendan Rodgers was optimistic after his side's 1-1 draw away at Everton but was sacked with immediate effect by the club.
It's the fifth 1-1 draw for the Reds in their last six games.
They keep their position in the middle of the table and will face Tottenham Hotspur away from home when the Premier League resumes on October 17.
"We had a couple of opportunities and then went in front, deservingly, and maybe could have been one or two more in front in the first half," Rodgers told reporters.
"We conceded a disappointing goal, a little bit of luck went against us. A cross comes into the box and Emre Can makes good contact on the ball – probably nine times out of 10 that goes out for a throw-in and it's good defending, but it hits Martin Skrtel and off [Mamadou] Sakho and falls perfectly for Lukaku, who finishes it well.
"Second half, you would expect Everton to come out, with us being the much better side, and we then had to show our defensive quality.
"I thought the players were very good in the second half defensively and a threat on the counter-attack. All in all, I'm pleased with the performance.
"We've had a run of tough games away from home and this has been another one. The players have worked very well.
"It's been a tough fixture list for us away from home, and apart from the Manchester United game where we were disappointing, I think we've looked solid and looked a threat.
"If we can cut out mistakes, the Norwich game we could very easily have won 1-0 but we defended not so well from a corner.
"Internally, we can see improvement and over time, hopefully that can be proved at the end of the season."