He was also happy to avoid Germany after his side were drawn in Group J along with teams including Bosnia, Finland and Greece.
However, the computer intervened as a maximum of two Euro 2020 host nations are allowed in each group.
After failing to qualify for Euro 2016 and the 2018 World Cup, the Dutch are resurgent with a young side under the command of Koeman, who won Euro 1988 as a player.
Gareth Southgate's men will face the Czech Republic, Bulgaria, Montenegro and Kosovo in their five-nation group.
Northern Ireland were handed an extremely tough-looking draw and will face Holland and Germany, as well as Estonia and Belarus in Group C. The final will be held at Wembley Stadium.
Croatia, which reached the World Cup final for the first time in July, is with Wales, Slovakia, Hungary and Azerbaijan.
Kim Jong Un Open To North Korea Nuclear Site Inspection
After arriving at Panmun Station at 9 a.m., a North Korean locomotive will take the six South Korean carriages to the North. Trump has agreed to resume the talks and also hold his second bilateral summit with North Korean leader Kim Jong-un.
Ireland will be incredibly familiar with their opponents Denmark whom they played in both their World Cup qualifying group as well as their UEFA Nations League group, as well as the likes of Georgia and Gibraltar who they've previously come across on numerous occasions.
According to the former Millwall forward, Ireland are nearly bound to improve under McCarthy because the team will be much better prepared in training and will have a plan to stop the opposition.
Regarding Ireland once again facing Denmark, McCarthy said that is about time that Ireland starting taking point from Christian Eriksen and Co. If one of the Nations League group winners have already secured a spot, the next-best team in that tier will make the playoffs.
Ireland dodged a virtual bullet at the draw as McCarthy's side were initially drawn in Group C alongside the Netherlands and Germany, but were moved to Group D due to the UEFA draw rules, which stated that no more than two host national sides could be placed in the same group.
It is separate from the Nations League Final Four in June 2019.