Last month, reports had emerged that AB de Villiers' management had indicated to BBL clubs that he was interested in playing in the competition in 2019-20.
Shane Watson has been in decent touch this IPL, having scored 243 runs in 11 matches with the highest score of 96 against Sunrisers Hyderabad.
Shane Watson played for Sydney Thunder for four years and captained the side for the past three seasons.
Brisbane Heat general manager Andrew McShea on Thursday said Lehmann would assume his position next week.
Nine of Australia's 15 man squad for the T20 series played at least eleven BBL matches in the 2018-19 edition.
The 35-year-old said that he is playing good cricket and is at the top of his game at the moment that increases his chances of making a comeback.
Finch will lead Australia in the upcoming limited-overs series in India starting February 24 where they would play 2 T20Is and 5 ODIs.
The Aaron Finch led Renegades clinched a thriller win against rivals Melbourne Stars to win their maiden BBL title.
Vettori's exit comes days after his former Kiwi teammate Brendon McCullum announced his BBL retirement from the same franchise.
The right-arm bowler said his small stint in the BBL would help him strengthen his chances of playing in the upcoming 2019 World Cup.
The 37-year old, who ended his international career in 2016, told his teammates at Brisbane Heat of the decision after his side defeated defending champions Adelaide Strikers on Sunday.
Beth Mooney's 46-ball 65 helped Brisbane Heat beat Sydney Sixers by 3 wickets and clinch their maiden Big Bash League title.
The slogan, which is associated with white supremacist groups, gained visibility in October last year.
Klinger is the BBL's all-time leading run-scorer but has struggled to find touch so far this season.
Mooney blazed 102 off 55 balls, which helped her side to a three-wicket victory over the Sydney Thunder in Cairns on Saturday.
Kohli isn't interested in joining the likes of AB de Villiers and Brendon McCullum who continue to play T20 leagues after retiring.
Perry had an unbeaten 80 off 54 balls against Perth Scorchers in the fourth edition of the tournament as she led Sydney Sixers to win by 32 runs.
Mostly regarded as a specialist Test bowler, Siddle has been in impressive form for the Adelaide Strikers over the past couple of seasons.
Khan had announced the news of his father's demise on Twitter.
Bancroft was immediately included in the 13-man squad for the match with undefeated Hobart.
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