Hazlewood played a vital role in Australia's successful campaign in the World Cup four years ago and was also the number one ranked bowler in ODIs in 2017.
Australian media reports on Friday revealed the breadth of the fracture between Warner and his teammates immediately after the ball-tampering scandal.
The fast bowler is likely to get a chance in the five-match ODI series against Pakistan to make his case stronger for the upcoming World Cup.
The 28-year-old pacer said that none of Shaun Marsh or Usman Khawaja can be universally regarded as senior batsmen while adding that that advice from coaches cannot teach you everything.
Jhye Richardson has played seven one-days and seven T20Is so far but is yet to make his Test debut for Australia.
It will be surely a series to watch out for before the 2019 ICC World Cup and both teams will give their all to achieve the glory and the journey will start from Adelaide Oval.
Australia seamer Josh Hazlewood said that his team needs to have more than one plan for a player of Virat Kohli's calibre.
Australia is scheduled to play two test matches and three one-dayers and a Twenty20 international against Pakistan in the UAE.
Hazlewood insisted that he would continue to act as a leader regardless of who is eventually given the vacant position.
Hazlewood is currently listed at number six on the ICC Test bowler rankings, headed by England's spearhead James Anderson but Lyon believes the seamer's repertoire and control make him the most potent bowler in Australia's three-pronged pace attack.
Hazlewood was also ruled out of the second and final Test against Bangladesh in Chittagong.
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