Ensnaring Bridge reads: "Creatures with power greater than the number of cards in your hand can't attack." The operative word is greater than, not greater than or equal to. If the creature's power exactly equals your hand size, the creature is not restricted by the Bridge and may attack freely.
This is a straightforward application of CR 509.1b, which governs which creatures can be declared as attackers. A creature can only be declared as an attacker if no rule or effect prohibits it. Since Ensnaring Bridge's restriction uses a strict "greater than" comparison, equality does not trigger the prohibition.
The comparison is checked at the time attackers are declared (CR 509.1). If your hand size and the creature's power are equal at that moment, the Bridge imposes no restriction on that creature.
Concrete example: You have 3 cards in hand and control a 3/3 Grizzly Bears. Ensnaring Bridge is on the battlefield. Because 3 (power) is not greater than 3 (hand size), the Bridge does not prevent Grizzly Bears from attacking. You may freely declare it as an attacker.
Note: If you were to draw a card after attackers are declared, the comparison is not re-evaluated mid-combat for the Bridge's restriction — it matters at declaration time (CR 509.1b).
Unofficial fan resource — not affiliated with or endorsed by Wizards of the Coast. Answers are AI-generated estimates grounded in the Comprehensive Rules and are not a substitute for an official judge. Verify anything match-critical.