Leicester gave Arsenal some anxious moments in the second half when Andrej Kramaric pulled one back for his team after Laurent Koscielny and Theo Walcott had given Arsenal a 2 – 0 lead at half time.
Arsenal held on to make it 22 home games unbeaten against the Foxes in all competitions.
They are now in fourth place above Manchester United with the Champion’s League to dream about again.