Rose suggested that he didn't want to have to look up any new Tottenham signings on the internet, with the England global keen for his side to spend big this summer.
The England global told The Sun on the eve of the new season that "I know my worth and I will make sure I get what I am worth", and implored the board to sign "world-class players" and "not players you have to google and say, 'who's that?'".
With Rose and fellow long-term absentee Erik Lamela sidelined through injury and Kyle Walker sold to Manchester City, Spurs have depleted options to choose from at St James' Park. Pochettino said in comments published by British newspapers on Saturday.
"When you sign players like Eric Dier, who are internationals today, nobody knew. or Dele Alli who was in League One or Kante", Pochettino said.
Apart from demanding that Spurs sign top players, Danny Rose also suggested that he and his teammates were underpaid and declared that he would like to leave the club to "play up North".
"My words were not meant to offend and for that I would like to apologies to the chairman, manager, my team mates and the fans".More news: Gylfi Sigurdsson not in Swansea squad to face Southampton, says Paul Clement
"You can see the statement but at the same time I was a player and sometimes after seven months of not playing you are a bit frustrated. Of course", Pochettino said of Rose.
After back-to-back title challenges, many are looking to Tottenham to collect silverware this season and they will expect to start well - Spurs have won all of their Premier League fixtures against promoted sides in the last two seasons. For me it's not a big issue. Ross Barkley and Juan Foyth have both been linked with joining last season's runners-up, yet no deals have been completed, leaving Pochettino with a squad weaker than the one which ended last term.
Tottenham's history, if you see the last five years, we always spend at the end of the transfer window.
"I don't understand why now it's a big issue when before it wasn't".
"The player is calm and we are calm".
It has been a frustrating window for Tottenham fans, who are anxious to see the club build on the progress they have made under Pochettino, but the club have plans to make additions before August 31, with Cancelo - whose career began at Benfica - heading the wanted list.