The creative midfielder was dropped by Gareth Southgate for his actions, as well as Manchester United’s Mason Greenwood, who both breached COVID-10 protocol rules.
Foden, 20, has apologised to his manager and England colleagues for his indiscretion, and has recognised that he has to behave more maturely and professionally going forward.
"Following the story which has emerged today regarding my actions in Iceland, I want to make a fully apology," he wrote in an apology he published on twitter.
"I apologise to Gareth Southgate, to my England teammates, to the staff, supporters, and also to my Club and my family.
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"When I was called up by Gareth for these games, my first reaction was that of immense pride. To pull on that shirt for the senior team in my England debut was an incredible privilege.
"I am a young player with a lot to learn, but I am aware of the huge responsibility I have in representing Manchester City and England at this level.
"On this occasion I made a poor decision and my behaviour didn't meet the standards expected of me.
"I breached COVID-19 protocols put in place to protect myself and my England colleagues. As a consequence, I will now miss the opportunity to travel to Denmark with the squad, and that hurts.
"I will learn a valuable lesson from this error in judgement and I wish Gareth and the team good luck this week."
The City player made his England debut in their 1-0 win over Iceland this past Saturday, as did Greenwood.