Denver used the second-round tender on him, which costs them $2.914 million for the 2018 season.
Paradis, 28, is a former sixth-round pick of the Broncos back in 2014. He was waived at the start of his rookie season and later signed to their practice squad.
Denver brought him back on an exclusive rights contracts the past two years.
In 2017, Paradis appeared in all 16 games for the Broncos and was rated by Pro Football Focus as the No. 8 center out of 36 qualifying players.