Maduro is due to be re-inaugurated on Friday.
González, currently exiled in Spain, says July’s presidential election was rigged and says he himself actually won it.
The opposition has called for mass protests this week, while the Maduro government offering a $100,000 (£81,000) reward for information leading to the arrest of González.
The voting tallies – a detailed official breakdown of the votes from each polling station – have been at the centre of the dispute over who won the election.
The government-aligned National Electoral Council declared Maduro the winner but failed to provide the tallies to back up its claim.
The opposition, which with the help of accredited election witnesses collected and published more than 80% of the voting tallies, says these prove that González was the overwhelming winner.
The UN Human Rights Committee in December ordered Venezuela “to refrain from destroying” the voting tallies from July’s election.