Byram is at an age where he may be considered for a potential England call-up, while West Ham have been linked with moves for right-sided players during the transfer window.
However, after an injury-hit campaign, Byram has revealed that he is only concentrating his efforts on becoming first-choice right-back at the London Stadium.
The 23-year-old told Betway Insider: "Obviously everyone wants to play for their country but I have to focus on becoming a regular for West Ham first.
"Obviously there is speculation on transfers and I think competition for places is healthy but that [becoming first-choice] is my main goal, to make it my position and become a regular."
Byram has made just 25 appearances for West Ham since signing from Leeds United in January 2016.