Rangers hammered Dundee 4-0 at Ibrox in the quarter-finals of the Scottish Cup on Saturday afternoon.
Dundee are a Scottish Premiership team, while the Gers are in the Scottish Championship at the moment.
The way Mark Warburton’s team dismantled Paul Hartley’s team in Glasgow showed their strength.
Rangers are set to gain automatic promotion to the Scottish Premiership at the end of the season, and their performance against Dundee demonstrated showed that they are ready to take on the big boys.
Former Rangers attacker Lovenkrands was impressed with the performance of the Gers against the Dees.
“Think back to last season and Rangers were really low when they came into the Celtic League Cup semi-final,” Lovenkrands told The Scottish Cup.
“It was a hard period for the club but things have changed. They will now be excited by the prospect of a derby.
“The Dundee game was huge in that sense. To take on a top-five Premiership team and win like that was a big statement.”
Rangers are at the top of the Scottish Premiership table at the moment with 69 points from 27 matches.
The Glasgow giants are as many as 12 points clear of second-placed Falkirk and have a game in hand.
The Gers will return to action on Friday evening when they take on Greenock Morton at Ibrox in the Scottish Championship.