The Rossoneri skipper has hailed Clarence Seedorf's influence since his return to the club and is hoping the positive start can be a platform to build on for the rest of the season
Seedorf replaced Massimiliano Allegri as the man in charge of the Rossoneri following their 4-3 defeat against Sassuolo on January 12.
Since then Milan have climbed to ninth in the table after collecting six points from Seedorf's opening two games, and Montolivo has hailed the Dutchman's impact since his arrival.
"With Seedorf in charge a new era has begun. Let’s hope it all goes well," Montolivo told reporters.
"I think the squad is competitive, the impact Clarence has had has been excellent and we want to climb the table."
Montolivo admits it has been difficult in Serie A this season, with the club struggling in mid-table.
However, having sealed progression from Group H in the Champions League, Montolivo is looking to continue the positive start under Seedorf with a good performance against high-flying Atletico Madrid.
"We’ve had a few problems in the league, while in the Champions League we’ve done really well," he continued.
"We’ve now got to face Atletico Madrid in the last-16 of the competition and we want to do well."