Then your answer is Jesus never speaks of the inerrancy of scripture.
All we need is John 10:35
The passage you mentioned doesn’t mention inerrancy.
The passage is not a teaching on inerrancy.
Did you read the context? It is Jesus turning their own views back on the religious people who rejected truth because it didn’t fit their tradition.
Jesus replied, "I have shown you many good works from the Father. For which of these are you going to stone me?" 33 The Jews answered, "It is not for a good work that we are going to stone you, but for blasphemy, because you, though only a human being, are making yourself God." 34 Jesus answered, "Is it not written in your law, "I said, you are gods'? 35 If those to whom the word of God came were called "gods'—and the scripture cannot be annulled— 36 can you say that the one whom the Father has sanctified and sent into the world is blaspheming because I said, "I am God's Son'? 37 If I am not doing the works of my Father, then do not believe me. 38 But if I do them, even though you do not believe me, believe the works, so that you may know and understand that the Father is in me and I am in the Father." 39 Then they tried to arrest him again, but he escaped from their hands.
You don’t want to be one of those religious people who rejects truth because it doesn’t fit your tradition, do you?