2010-11: Anders Krogsgaard played for the Esbjerg U17 team in Denmark as a 14-year-old. He had 1 assist and had 8 penalty minutes in 17 games.
2011-12: Krogsgaard played for Esbjerg's second men's team in Denmark's Division 2 league and played for the U16 national team. He scored 1 goal with 3 assists and 16 penalty minutes in 22 regular season games and had no points nor penalties in two playoff games. Krogsgaard had 2 assists and 4 penalty minutes in seven games with Denmark's U16 team. He skated in nine games for Esbjerg's U17 team and scored 4 goals with 3 assists and 6 penalty minutes.
2012-13: Krogsgaard skated for Esbjerg in the AL-Bank Ligaen, Denmark's top professional league, and played for Denmark in the 2013 U18 Division 1A World Junior Championship. He was scoreless with 6 penalty minutes in 36 regular season games for sixth-place Esbjerg and had no points nor penalties in six playoff contests. Krogsgaard was +3 with no points nor penalties in five games at the U18 D1A WJC as Denmark won all five games to gain elevation for 2014.
2013-14: Krogsgaard spent his second season with Esbjerg in the re-christened Metal Ligaen and played for Denmark's U20 and U18 teams in their respective World Junior Championship tournaments. He recorded 3 assists and had 14 penalty minutes in 36 games as Ejsberg again finished sixth. He had no points and 2 penalty minutes in five playoff games. Denmark's U20 team finished first in the 2014 Division 1A WJC and in five games Krogsgaard was -1 with 1 assist. The U18 team did not enjoy the same success; finishing last in the ten team top division tournament and being relegated back down for 2015. Krogsgaard was a team captain and was -8 with 1 goal and 6 assists. He was not among the 140 International skaters in Central Scouting's final rankings but was one of the 150 players in International Scouting Service's May list of prospects prior to the 2014 NHL Draft.