The Gunners lost ground in the Barclays Premier League title race with their performance at the Stadium of Light, although Silvestre was not in the team that day.
The veteran was needed off the bench, however, when Arsene Wenger's men bounced back against Standard Liege to seal their place in the knockout stage of Europe's top club competition - the only negative aspect being injuries to William Gallas and Kieran Gibbs.
No easy games: Cesc Fabregas of Arsenal shows his frustration after a missed opportunity during his side's 1-0 defeat against Sunderland last weekend
'I think at Sunderland we lacked a little bit of commitment,' he said. 'You drop one per cent or two per cent and that's it, you get punished. Against Standard we wanted to rectify this and make sure we got the victory.'
Silvestre insists Arsenal put a marker down by getting out of their group with a match to spare.
'We have seen Liverpool go out, Barcelona are struggling,' he said. 'I think our group was well-balanced and we made a good campaign so we are proud of that.
Seeing red: Mikael Silvestre (right) watches on against Standard Liege
'It was easy to control the game in the second half as we were 2-0 up. After the disappointment of this weekend it was good preparation for Chelsea too.
'The Sunderland defeat tells us that we can't rest and we have to keep going. We must treat every game the same no matter if it's after an international break or in December when you have a game a week every week. The application has to be the same and so must be the determination.'
League leaders Chelsea arrive at the Emirates Stadium at the weekend and Denilson, who scored on his return from injury against Standard, explained how confidence is now high at Arsenal.
Bouncing back: Samir Nasri scores the first goal against Liege on Tuesday
'I am very happy at the moment. Not only me but also all the group is very happy,' Denilson said on arsenal.com. 'On Sunday we have a hard game against Chelsea, a big team, so every game we have to focus.'
Denilson, who has recovered after a spell on the sidelines with a back problem, added: 'Two months out was very difficult but I am back now so I have to play well in all the matches.'
Arsenal lead Chelsea and United in race for QPR's 14-year-old wonderkid Raheem SterlingDenilson delighted at spectacular return to Arsenal action in Standard Liege winArsenal 2 Standard Liege 0: Wenger's not smiling as Gibbs and Gallas limp offARSENAL FC