Konsa has been linked with a number of Premier League clubs - including Liverpool, Everton and Brighton & Hove Albion - ever since establishing himself as one of the top prospects outside of the top two divisions in English football.
Robinson has suggested that he is prepared for the player's eventual exit, but reiterates that he is delighted that the England Under-20 international has remained at The Valley.
The 37-year-old told the club's official website: "We've kept the door locked even though there was a number of people banging on it trying to offer for some of our players.
"The stance of the football club was that Ezri Konsa would be available at a price. We got offered a number of different deals, it didn't meet our expectation so everyone was happy for him to stay, none more than me.
"We're really happy, we've got a lot of our young players out on loan playing, we've kept our players who are integral to our starting lineup."
Despite only turning 20 in October, Konsa has already made 70 appearances for the League One side.