Reports from several credible outlets indicate Chelsea have agreed to pay Aston Villa £117m for the England international, a fee that would make Rogers the most expensive British player in history.
Speaking in the FOX Sports studio before the bronze-medal match between France and England, Ibrahimovic did not hold back on his view of the growing sums being spent on players across the game.
"It has to stop now," Ibrahimovic said, according to Voetbal International. "Not every player is worth more than £100m.
"To be honest, this is close to being out of control. If you've had a good season, that doesn't mean you're worth that much money.
"I'm genuinely curious how much players like Lamine Yamal, Vinicius Junior and Michael Olise would be worth if Rogers costs that much. It really has to stop."
Ibrahimovic's comments carry particular weight given his current role at AC Milan, where the Swede works as a senior advisor alongside his media commitments during the World Cup.
His intervention adds a prominent voice to the broader debate about transfer inflation in English football, coming shortly after Rogers' proposed fee would surpass the £116m Manchester City paid for Elliot Anderson earlier in the summer, itself a British transfer record at the time.
Rogers, 23, has established himself as one of the Premier League's most productive attacking players over the past two seasons, and the switch to Chelsea would represent a significant statement of intent from Xabi Alonso's rebuilding project at Stamford Bridge, even as it draws fresh scrutiny over where the ceiling for transfer fees in the English game might eventually be.
Ibrahimovic is no stranger to voicing strong opinions on the state of modern football during his punditry work, and his comments are likely to resonate with supporters and pundits who have expressed unease at the pace of transfer inflation in the Premier League in recent years.
Aston Villa, for their part, are under no obligation to sell at a discount, having already secured Champions League qualification and with Rogers under contract for a further four years, giving them significant leverage regardless of the wider debate his fee has sparked.