Reacting to stories in Pakistan and Indian papers that there have been problems between the captain and media manager Pervez Mir, Inzamam told the "Daily Jang" newspaper that the people spreading these rumours were anti-Pakistan.
Pakistan lost their opening match of the World Cup to hosts West Indies and there have been reports about Inzamam criticising Mir and refusing to attend a news conference.
"Whenever we lose rumour mongers spread such stories. These people are not well-wishers of the team and want to derail our campaign," Inzamam told Jang.
"There is no discord in the team and I get along well with the media manager and players," he said.
Mir insisted gossip mongers had launched a propaganda campaign against the team.
"All these rumours are not true. There is harmony in the team and we will do well," he told a Pakistani newspaper.
Pakistan play Ireland in their second match on Saturday.