Rotating Fireplace — ruling 1

To time travel, look at each permanent you control with a time counter on it and each suspended card you own in exile with a time counter on it. For each of them, you choose whether you want to put a time counter on that card or permanent, remove a time counter from it, or do neither. Then those changes all happen simultaneously.

Rotating Fireplace — ruling 2

Time counters are usually found on cards with suspend and vanishing, but may be found on other cards as well. Notably, Sagas use lore counters to track their progress, not time counters. You can't move a Saga's chapters forward and backward this way.

Rotating Fireplace : règles, fonctionnement et interactions (MTG)

Rotating Fireplace is one of those cards players keep asking about. Here is, in plain words, what its official text says, the rulings published by Wizards of the Coast, and the combos players actually run.

Official card text

This artifact enters tapped with a time counter on it. : Add an amount of equal to the number of time counters on this artifact. , : Time travel. Activate only as a sorcery. (For each suspended card you own and each permanent you control with a time counter on it, you may add or remove a time counter.)

How it works : Rotating Fireplace

Original English text — Wizards of the Coast / Scryfall

#1October 13, 2023· Wizards of the Coast
To time travel, look at each permanent you control with a time counter on it and each suspended card you own in exile with a time counter on it. For each of them, you choose whether you want to put a time counter on that card or permanent, remove a time counter from it, or do neither. Then those changes all happen simultaneously.
No other card is named in this ruling.
#2October 13, 2023· Wizards of the Coast
Time counters are usually found on cards with suspend and vanishing, but may be found on other cards as well. Notably, Sagas use lore counters to track their progress, not time counters. You can't move a Saga's chapters forward and backward this way.
No other card is named in this ruling.