Younis is 1186 runs short of the 10,000-mark in Tests.
"It has always been my desire to do something special for Pakistan cricket and scoring 10,000 runs in Test cricket is my dream now," Younis, who will turn 38 in November, said.
Clarke announced his retirement after the Ashes series at the age of 34, having scored 8643 runs in 115 Tests at an average of 49.10, while Sangakkara, who turns 38 in October, retired recently after scoring 12,400 runs in 134 Tests at a remarkable average of 57.40.
"It would be a remarkable achievement to score 10,000 Tests runs for Pakistan and I am confident I can manage it if I retain my hunger and passion for playing cricket," Younis said in an interview.
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Ruling out any immediate plans of retirement, Younis said he is focusing on preparing for the home series against England and India this year in the UAE, and then the tour to England next year.
Younis said setting targets have always helped him perform better.
"I like challenges. I know people talk about top players retiring recently but I look at my career and game differently. I know what I can still do and it should be my decision when I must go," he said.
"I have faced ups and downs in my career but always come back because of the discipline and self-belief installed in me by my parents and family. I have learnt to cope with different situations and personal tragedies and continue to focus on cricket," he said.
"I hope I can inspire and pass on positivity to these new and young players. I remember we won the World T20 Championship in 2009 under my captaincy even though we had a young team without any big names. We managed to do it because of unity and hard work," said Younis.