Drmić scored his first competitive goal for Switzerland on 14 June 2015, equalising in a 2–1 away victory over Lithuania in UEFA Euro 2016 qualifying. On 5 September, he came on in the 64th minute for Blerim Džemaili, and scored twice as the Swiss came from 0–2 down to defeat Slovenia 3–2 in a qualifier in Basel. After having knee surgery in March, he missed the final tournament.