The correct answer is option 1, Rishabh Pant. He was named ICC`s emerging player of the year in 2018. Let`s analyze the other options to understand why they are not the correct answers.

Option 2, Josh Hazlewood, is an Australian fast bowler. While he is a talented player, he was not named ICC`s emerging player of the year in 2018.

Option 3, Hasan Ali, is a Pakistani fast bowler. He had a standout year in 2017, where he was the leading wicket-taker in One-Day Internationals. However, he was not given the emerging player of the year award in 2018.

Option 4, Mustafizur Rahman, is a left-arm fast bowler from Bangladesh. He burst onto the international scene in 2015 and was one of the key players for his team. However, he was not named the emerging player of the year in 2018.

Therefore, the correct answer is option 1, Rishabh Pant, who was recognized for his exceptional performances in 2018 and awarded the ICC`s emerging player of the year title.