Русско-англо-русский юридический словарь

Open Court, as the name suggests is a court that is open to the public. The public is free to attend an open court session. (USLegal)

In open court is a legal term in the United States defined by the appearance by a party or their attorney in a public court session such as during a trial. Normally, the public may be present at trials, hearings and similar routine matters (Wikipedia)

Speaking in an open court session on Tuesday, Supreme Court judges Madan Lokur and Deepak Gupta examined photographs of the 17th-century mausoleum submitted by environmentalists, saying: “Earlier it was turning yellow and now it is becoming brown and green. (The Independent)

He then asked that his application asking for that secrecy should itself be heard in a closed court session, right there and then. (Bristol Live)