Filippo Inzaghi's Milan sit 10th in the table, 11 points adrift of a UEFA Champions League spot and a whopping 24 behind leaders Juventus.
The San Siro giants have never really got going this season and their latest disappointment was a goalless draw at lowly Chievo last time out.
Milan have won two of their last three at San Siro but a home defeat could prove costly with speculation surrounding Inzaghi's future.
"I am a player that always tries to give 120 per cent and here at Milan I will always try and give that little bit extra," Antonelli told the club's official website.
"Our objective is to qualify for Europe, we will try and give something extra to achieve that.
"I am sorry that we weren’t able to pick up three points for the fans [at Chievo].
Fellow defender Salvatore Bocchetti echoed Antonelli's thoughts and said Milan had to "give more" when Verona come to town.
All the pressure will be on Milan, though, given Verona's lowly standing of 15th.
Inzaghi's men desperately need more from one of their strikers, with midfielders Jeremy Menez (12 goals) and Keisuke Honda (six) providing more than half of their league goals this season.
Honda scored twice in Milan's 3-1 win at Verona earlier this season, a match in which Rafael Marquez netted an own goal and was sent off for the losers.
