Bowyer was strongly linked with the recent vacancy at Huddersfield, having led Charlton to second in their first season back in the Championship.
But the Terriers ultimately appointed the former Lincoln City boss, Danny Cowley.
It is unclear if an approach was ever made for Bowyer. But speaking to Talksport earlier, the Londoner said: "No it doesn’t unsettle me.
"At the end of the day I work for Charlton and I love working for Charlton. I think what we’re doing here is good and we’ve turned it around basically, if you want to look at it like that. When I first took over we weren’t in the situation that we are now, as a football club.
"That’s why I’m still here because I felt this is the right place for me to be. Things are going well. I’ve got a group of players that want to learn from me and give me everything. So it would have been silly for me to have left at the moment."
Bowyer is also said to have been courted by West Bromwich Albion and Derby County earlier in the summer, but signed a new contract with Charlton despite at one stage looking likely to leave.
His side host Huddersfield - who sit joint-bottom of the Championship with Stoke - on 10 December, and travel to the Kirklees Stadium on 29 February.
Charlton Athletic or Huddersfield Town - who will finish higher this season?
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