The Dane has called upon HSV's starlets to come of age and make the next step in the coming season, while confirming he is on the look-out for a creative midfielder
However, the Dane, who has played a significant role in bringing youths from his former Chelsea to the northern German club, also believes that HSV's rising talents must step up and fulfill their potential next season.
"We will simply follow our philosophy. So I expect young players like [Jeffrey] Bruma, [Gokhan] Tore, [Jacopo] Sala, Son [Heung-Min], and [Tolgay] Arslan to take the next step forward," he told Hamburger Morgenpost.
"They need to improve; the potential and the quality is there."
While four of the youngsters he mentioned are natural attacking midfielders, Arnesen nonetheless pledged to sign another creative player after Euro 2012.
"A creative player for the midfield should come," he said. "How long should the fans have to wait? After the Euro we will make moves in the transfer market. Of course we would like to act quickly, but we certainly will not force anything."