Well Jesus it seem rejected a lot of the things that the Scribes and Pharisees taught. I am just interested in what the scriptures teach not man-made tradition unsupported by the scriptures (see Matthew 15:3-9)
I'm highly influenced by the book "Jesus the Pharisee" by Rabbi Harvey Falk. It shows how the arguments with the Pharisees can best be understood as the argument between two schools of Pharisaical thought: bet Shammai (which was very very strict and dominated teh Sanhedrin in Jesus ministry years) and bet Hillel (which was more lenient). The positions that Jesus took on the law fall in line with bet Hillel (with the exception to his teaching on divorce). Thus, Jesus arguments with the bet Shammai Pharisees would be typical for the day.
Matthew 23 shows how Jesus believed the Pharisees had teaching authority, including the Oral Torah.
Matthew 23: 1-3
Then Jesus said to the crowds and to his disciples: 2 “The teachers of the law and the Pharisees sit in Moses’ seat. 3 So you must be careful to do EVERYTHING they tell you. But do not do what they do, for they do not practice what they preach.
Everything would include Oral Torah.
Also,
Matthew 23:23
23 “Woe to you, teachers of the law and Pharisees, you hypocrites! You give a tenth of your spices—mint, dill and cumin. But you have neglected the more important matters of the law—justice, mercy and faithfulness. You should have practiced the latter, without neglecting the former.
The spice tax was an example of Oral Torah. By saying "without neglecting the former" Jesus was teaching that Jews should not neglect the Oral Torah.
Remember that Jesus was a Jew who practiced second temple Judaism, including the Oral Torah. For example, he washed his hands before eating.