Browns general manager Tom Heckert said the team has no plans to trade any of the team's restricted free agents. Roth was one of five restricted free agents to skip the start of Cleveland's voluntary organized team activities on Monday.
"It's not going to happen," said Heckert, adding the club had been in contact with Roth's agent, Drew Rosenhaus.
The two sides are not close on a multiyear contract extension and, after playing out a five-year rookie deal as a second-round pick, Roth believes he is worth more than Cleveland is offering.
Roth is saying he will not sign his tender, so there is a standoff in Cleveland, which is why the trade was requested.
The 27-year-old linebacker, who spent his first four full NFL seasons with the Miami Dolphins before being waived in November, recorded four sacks last season with Cleveland and has 16½ in his career.
Adam Schefter is ESPN's NFL Insider. Information from The Associated Press was used in this report.