Volatility persistence describes how the magnitude of market changes can remain elevated or subdued across nearby periods. A large move may indicate that uncertainty and trading activity are still high even if it does not determine the direction of the next move.
Trading rules can use a prior movement threshold as a signal that a volatile regime is active. The relationship must be tested carefully because persistence can vary by market, interval and event, and transaction costs can erase a small statistical advantage.
ELI5
Volatility persistence is the tendency for calm or turbulent market conditions to continue for a while. It concerns the size of price movements, not whether prices will move up or down.
For example, a very large price swing today may suggest that large swings are more likely than usual tomorrow, even though tomorrow's move could go in either direction. The pattern changes across markets and periods, so a trading rule based on it must be tested with realistic costs.
Does volatility persistence predict market direction?
Not by itself. It concerns the likely size or intensity of movement, while direction requires a separate signal or assumption.
How is volatility persistence used in a strategy?
A strategy may trade only after a prior move exceeds a threshold, treating that move as evidence of an active volatility regime.

