Khadzhiyev was born in the village of Shali, Chechen-Ingush Autonomous Soviet Socialist Republic. He spent his childhood in the village of Rovnoye in the Dzhambul district of Kazakhstan, where he was deported with his family. He returned to his homeland in 1957, when the Chechen-Ingush ASSR was restored. He graduated from the Grozny State Oil Technical University with a degree in oil and gas process in engineering.[4]
He worked at the Grozny Oil Research Institute (one of the leading in the USSR oil industry), where he rose from junior researcher to a director.
In 1990 he was elected a deputy of the Supreme Council of the Chechen-Ingushetia [ru] of the 9th convocation.[5]
In 1991, Khadzhiyev became the Minister of the Petrochemical Industry of the Soviet Union, becoming the first Chechen in the USSR to hold a ministerial position.[5] He was a member of scientific council and the Interdepartmental Council of the USSR Academy of Sciences and a member of the State Committee for Science and Technology of the USSR on petrochemistry. He was a member of the editorial board of the journal "Chemistry and Technology of Fuel and Oils" and authored numerous scientific papers.[6]
In 1995, during the First Chechen War, he headed the Government of the Provisional Council of the Chechen Republic.
The appointment took place on 16 January, on the day of the televised address of the Prime Minister of Russia Viktor Chernomyrdin to the Russian people, in which he announced the intention of the federal leadership to form a capable government in Chechnya for a transitional period.[7] According to other sources, he headed the Government of the National Revival of Chechnya on November 23, 1994.[8] In March, Khadzhiev met with the president of Russia, Boris Yeltsin, at his residence outside Moscow in his capacity as head of a federal subject.
In July 1995, he announced his resignation, which was regarded by the journalists of the Kommersant newspaper as the readiness of the federal authorities to sacrifice figures in anticipation of possible negotiations with the separatists of Dzhokhar Dudayev.[9] However, he resigned later on October 23, 1995.[10][11] After being removed from this post, at the end of 1995, he was then appointed as the first deputy head of the territorial administration of federal executive bodies in the Chechen Republic.[12]
In 1995, he was involved in the organization of the Southern Oil Company.
In March 1996, Khadzhiyev participated in a meeting of the VIP club of the Chamber of Commerce and Industry of the Russian Federation as chairman of the State Committee for Industrial Policy.[13]
In 1996, Salambek Khadzhiev became a member of the board of directors of Ecotech Oil, a large trading company that supplies gasoline to the Moscow Region and regions of Central Russia, and then headed it. He is also the owner of 80 percent of the shares of this company.[14] In April 2002, he sold 50 gas stations owned by the company to Slavneft.[15]