Mignolet and co suffered a 2-0 reverse at the hands of the Gunners, thereby missing out on the opportunity to once again climb to the summit of the Barclays Premier League.
He told Liverpoolfc.com: "Everybody wanted to do well today; we were motivated and confident going into the game because it was a good opportunity for us to go top of the table.
"Unfortunately, we came across a good Arsenal side - they put us under pressure and scored an early goal. Afterwards, you're chasing the game a bit.
"At half-time we changed things and managed to create some chances, but we couldn't score a goal. Then Aaron Ramsey killed the game off really.
"Arsenal are doing really well at the moment and they are a good side. That doesn't mean we're not disappointed, but the most important thing is that we can't drop our heads after this performance."
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