The singer said that the Grammy-winning group do not take their previous success for granted, but are happy making the music they enjoy without being influenced by what is popular.
Martin told Rolling Stone: "You can't take anything for granted anymore. It doesn't matter if you used to be big or used to be famous, you've got to prove yourself all over again.
"We don't have any immediate touring plans. We've just got to wait and see if anyone is interested in listening to the album."
He continued: "I don't really care anymore about being relevant. I'm just happy to be with that group of people.
"We're very fired up and we're very focussed and the people who want to enjoy our music, we love them and we welcome them. In terms of where we fit in? I don't care."
The 34-year-old also described Rihanna's feature on their new track 'Princess of China' as "by far and away the best bit of singing on the album".
Coldplay will release their fifth studio album Mylo Xyloto on October 24 in the UK and October 25 in the US.
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Watch the full interview with Chris Martin below: