19 November 2014. International Alongside Akademisk Boldklub teammate and later Danish international Martin Albrechtsen, Løvenkrands made his debut with the Denmark under-19 national team in September 1997. He scored five goals in eight matches for the Danish under-19 national team, and was named 1998 Danish under-19 Player of the Year. He was called up for the under-21 side in March 1999, and played 12 games and scored 7 goals for the under-21s until October 2001. While at Rangers, Løvenkrands made his senior international debut under national team coach Morten Olsen, in the 13 February 2002 friendly match 1–0 win against Saudi Arabia. Having played a total four international games, he was a part of the Danish squad at the 2002 FIFA World Cup, and played one minute in the 1–1 group stage draw with Senegal. He also participated at UEFA Euro 2004, playing five minutes in the 0–3 quarter-final defeat against the Czech Republic. In his 17th national team game on 15 November 2006, he scored his first international goal in a 1–1 friendly match draw with the Czech Republic. On 10 September 2008, he played his 21st national team game in the 3–2 2010 World Cup qualification win against Portugal, whereafter his international career went on hiatus. His effort in the Portugal game was praised by Morten Olsen, but following the turmoil in his Schalke career, Løvenkrands had fallen out of contention for a place in the national team by September 2009. Although talks of a recall surfaced in 2010 following his impressive form at Newcastle, Løvenkrands stated that his mind was not on the recall, and he prioritized aiding the club back to the Premier League. After Newcastle's return to the Premier League, Løvenkrands played his first game for Denmark in over two years, coincidentally against Portugal, as part of a 1–3 defeat. Coaching career Løvenkrands returned to Rangers in May 2017 as a part-time coach in the clubs Academy. On 13 June 2018, Løvenkrands announced he would be taking on the role of Reserve Team Coach at Rangers. He left Rangers in June 2020 with the intention of taking a coaching position in Japan, but COVID-19 travel restrictions meant that he had not moved there as of December 2020. On 18 June 2021, he was announced as manager of Danish 1st Division side Fremad Amager. After a mixed season in which Fremad Amager finished in 10th place,