The Leeds boss discussed the 22-year-old after the 3-0 loss at Boro.
Indeed, considering the speculation surrounding Byram's contract situation (it is up at the end of the season) and his recent form, the 22-year-old was bound to be benched sooner or later.
But Leeds boss Rosler - who did exactly that against Middlesbrough on Sunday afternoon - says he wanted Jordan Botaka to start out right as that is his natural position.
The German told BBC Radio Leeds: "We analysed them and found they were a little bit like Burnley. Nine of the players that started against Burnley started today. Plus a personnel change on the right.
"A winger came in instead of a converted right-back playing as a winger."
The Byram saga will likely rage on after owner Massimo Cellino's interview with Sky Sports, where the Leeds owner revealed that the 22-year-old has refused a new contract at Leeds and more or less publicly vilified him for it.
Many fans will no doubt speculate that the Italian had ensured Byram didn't start, or even come off the bench, against Middlesbrough.
Of course, there is the small matter of the youngster's form dipping significantly at Elland Road so far this term. His influence may also have had little effect at the Riverside Stadium, where individual errors ensured Leeds were effectively dead and buried against Boro before they even got going.