[10] During the early stages of the North Atlantic Treaty Organization (NATO)'s 1999 bombing of Yugoslavia, Blažić argued that the American-led coalition was targeting chemical industry facilities "in an obvious attempt to cause an environmental disaster.

[13] Following the conclusion of the bombing campaign, he suggested that the smoke and toxic fumes caused by NATO's actions might have contributed to the heavy rainstorms and other bad weather affecting Serbia in the summer of 1999.

[14] In early 2000, a cyanide leak originating in Romania caused significant damage to the Tisza and Danube rivers within Serbia.

Blažić was defeated in his bid for re-election in the 2000 Yugoslavian parliamentary election when the Radical Party failed to win any mandates in his division.

[18] Blažić received the twenty-fifth position on the Radical Party's electoral list for the 2000 Serbian parliamentary election, in which the entire country was counted as a single constituency under a system of proportional representation.

During his term, Novi Sad mayor Maja Gojković, also a Radical Party member at the time, described him as one of the country's most competent politicians at the local level.

[28] In 2005, he said that Serbian activist Nataša Kandić would be persona non grata in Kikinda on the grounds that she was "fomenting an anti-Serb hysteria" by accusing Tomislav Nikolić of responsibility for war crimes in Croatia in 1991.

[30] Serbia's electoral system was reformed in 2011, such that parliamentary mandates were awarded in numerical order to candidates on successful lists.

[31] The Progressive Party became the leading force in Serbia's coalition government after the election, and Blažić served as a member of its parliamentary majority.

[32] In late 2014, Blažić and fellow MP Vladimir Đukanović went on an unauthorized mission to act as international observers for elections in the breakaway Donetsk and Luhansk People's Republics in Ukraine.