After missing out on the 2018 FIFA World Cup, his peripheral role under Guardiola in the start of the new Premier League season raised eyebrows.
Both Low and Guardiola questioned the attitude of the 2017/18 PFA Young Player of the Year - insinuating complacency crept into his game.
However, Sane, who's scored just once in nine games during the new campaign - remains the highest assist provider (17) in England since the turn of the year.
"I love challenges, especially with Pep Guardiola," Sane told Sport 1 following Tuesday's 2-1 Champions League win at Hoffenheim.
"[Germany coach] Jogi Low and Pep Guardiola both know exactly how to deal with me. To receive criticism from big coaches even delights me a bit.
"Criticism is normal in football. I only focus on myself. I want to improve myself.
"The next goal is to make the next step with the national team and show myself more there."