An Abbott-era push to remove racial discrimination protections could be back on the table in the new Parliament, with several incoming senators determined to strike off section 18c of the Racial Discrimination Act.

Derryn Hinch, Senator-elect for Victoria, said he supported unwinding the law "1000 per cent" and had discussed the issue with Liberal Senator Cory Bernardi and re-elected Family First Senator Bob Day.

"Watch out for 18c because that is going to be really right back on the table," he told ABC radio on Friday. "I want to scrap it. I'm offended and insulted by any legislation that says 'offend and insult' anybody."

The team of four One Nation senators will also push to have section 18c repealed. Malcolm Roberts, who was elected alongside Pauline Hanson to represent Queensland, raised the issue at his debut press conference on Thursday.