Sporx reports that the two clubs have been impressed by the 21-year-old since his move to Istanbul and intend to assess him in person when Galatasaray host Barcelona in the Champions League on October 13.
Batrakov only joined Galatasaray in August, moving from Lokomotiv Moscow for €25m. The Turkish club confirmed that the Russian signed a five-year contract, with Lokomotiv also entitled to 15 per cent of any profit from a future sale.
The move brought an end to a period in which English clubs had struggled to secure Batrakov because of restrictions surrounding transfers from Russian clubs. Chelsea, Manchester United and Manchester City had all previously been linked with the player, according to earlier reports.
Batrakov had established himself at Lokomotiv before leaving Russia. He scored 17 goals in 36 appearances across the Russian Premier League and Russian Cup last season, while his form also earned him international recognition.
Galatasaray's official announcement described Batrakov as a player who had progressed through the Lokomotiv academy before becoming part of the first-team set-up. He made his Russia debut in 2024 and has since added further senior caps.
The midfielder can operate centrally or from a wider attacking position, giving him flexibility in the final third. Galatasaray have used him as part of Okan Buruk's squad since his arrival.
His first Champions League campaign with the Turkish champions is now providing another stage on which English clubs can assess his progress.
UEFA lists Galatasaray's home meeting with Barcelona for October 13, and Batrakov is eligible to feature in a fixture that could draw further attention from potential suitors.
For Chelsea and United, however, any interest remains at the scouting stage. Batrakov has only just begun a five-year spell in Istanbul, and Galatasaray's €25m investment means any future approach would come with a significant valuation attached.
The timing of the reported scouting trip also reflects how quickly his status has changed. A player who was difficult for Premier League clubs to recruit directly from Russia is now operating in the Champions League with one of Turkey's leading clubs, making his performances considerably easier for European scouts to monitor.