The midfielder was speaking at Brazil's training camp in Singapore on Thursday, when he was asked about the managerial situation at Old Trafford. At that point Michael Carrick's future remained uncertain, although United subsequently confirmed his dismissal and Pochettino's appointment.
"On Pochettino, it's hard to say because I don't know what's happening. My focus is only here. I'm focused on doing my job, playing well and performing well," Santos said.
The 22-year-old was more forthcoming when asked about the pressure of representing Manchester United and Brazil, making clear that he sees it as an unavoidable part of pursuing success.
"First of all, of course I really like pressure. As you know, I think if you want to achieve something and work hard, you have to live with pressure. I have a lot of pressure there [at Manchester United], and I have a lot of pressure here too."
Santos joined United from Chelsea in July and could now find himself working under a manager who previously coached at Stamford Bridge. Pochettino was in charge of Chelsea during the 2023-24 season, although Santos was out on loan at the time and the pair did not work together.
The Brazilian also discussed his international ambitions after missing out on a place in the final squad for the 2026 World Cup, despite being involved in the build-up to the tournament.
"I was part of the process for the last World Cup. I received quite a few call-ups. Of course, I wanted to be in the final squad, at the World Cup, but the manager chose another player.
"I'm fully aware of that and I respect it. He knows what he's doing. That's in the past now."
Rather than dwell on the disappointment, Santos has returned to the national-team picture and is looking towards the next World Cup cycle.
"Of course, I really wanted to play in a World Cup. It has always been my dream, my objective. I couldn't be there in 2026, but now I have to work hard at my club to keep being here and think about the 2030 World Cup."
The midfielder also highlighted his willingness to adapt to different roles, saying he is comfortable whether deployed deeper or further forward.
"Wherever the manager needs me, I'll always do my best."
Pochettino's arrival gives United another managerial reset, with the Argentine due to begin work after completing his commitments with the United States. For Santos, the immediate challenge is to establish himself at club level and make sure he remains part of Brazil's plans for the years ahead.