A club statement said: "Nottingham Forest can confirm that all players, staff and officers have been tested for the coronavirus and all results have come back negative.
"Within hours of receiving the news that owner Evangelos Marinakis had tested positive for the virus, the club took swift action to arrange tests for the entire first-team players, staff and officers that came into contact with the owner last week.
"The club will remain in close dialogue with the relevant governing bodies and football authorities to ensure the correct measures are taken."
Wednesday's Premier League match between Manchester City and Arsenal was postponed after it emerged that the Forest owner came into contact with the Arsenal squad.
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Sky Sports News' Kaveh Solhekol says Arsenal face a waiting game over coronavirus
Marinakis, who is also the owner of Olympiakos, was present for Arsenal's home match against the Greek side in the Europa League at the end of last month.
The Greek businessman met some of the Arsenal squad although no one at the club had prolonged contact with Marinakis. He did, though, shake the hand of one Arsenal player.
Chelsea's Champions League last-16 second leg game against Bayern Munich at the Allianz on March 18 will be played behind closed doors, as will Barcelona's decisive match with Napoli on the same night. PSG's match with Borussia Dortmund on Wednesday is also being played behind closed doors
Manchester United's Europa League last-16 first-leg match at LASK on Thursday will be played behind closed doors. Wolves' Europa League tie at Olympiakos in Greece on Thursday will also have no spectators inside the stadium. Wolves have confirmed they had a request to postpone Thursday's Europa league clash with Olympiacos rejected by UEFA. Rangers' away leg vs Bayer Leverkusen on March 19 is to be played behind closed doors. Roma will not travel to Spain for their Europa League match against Sevilla on Thursday after their plane from Italy was not authorised to land
All La Liga games for at least the next two weeks will be played behind closed doors following updated advice from the Spanish authorities
All Ligue 1 and Ligue 2 matches until April 15 will be played behind closed doors amid the outbreak, the French League (LFP) said on Tuesday. The French League Cup final between PSG and Lyon on April 4 has been postponed
The Republic of Ireland's Euro 2020 play-off against Slovakia in Bratislava on March 26 will be played behind closed doors. Germany's international football friendly against Italy on March 31 will also be played behind closed doors.
The Bosnia & Herzegovina Football Federation has confirmed ticket sales for this month's Euro 2020 play-off match with Northern Ireland have been suspended
England's friendly matches against Italy on March 27 and Denmark on March 31 - both at Wembley - will currently go ahead as planned, according to the Football Association
The France vs Ireland Six Nations match was postponed on Monday. As it stands, the Wales vs Scotland match is the only game in the final round of the Six Nations due to go ahead as originally scheduled, after the Italy vs England game in Rome was postponed last week
Catalans' Super League game at home to Leeds Rhinos in Perpignan on Saturday will go ahead behind closed doors