Fans called for Hughes's head following a home defeat by Newcastle on Monday 48 hours after the Welshman had rested players in a 5-0 battering at Chelsea.
Asked about his future, Hughes replied: "Who else is going to do it? In terms of the knowledge of the group and the progress in my time here, I'm the best person to do it."
Hughes was frustrated by persistent questions about his team selection at Stamford Bridge and cut short his after-match press conference.
"Everyone's saying that I gambled but I used the players I had," he added. "What was I going to do? Risk players that had a big part to play today?
"Rafael Benitez today makes five changes, he didn't play his first choice centre forwards, so what's the difference?
"If I had won, it would have been great management. As it happens, it's gone against me. I'm brave enough to take it on the chin.
"I did it for the right reasons. I did it to maximise our chances of getting a result today. It hasn't panned out, but that's how sport happens.
"I would still have made the same decision given the circumstances again."