Did Jesus Teach Total Depravity? No
Let's look at Jesus own words and see if he taught of believed that man was so totally depraved that he was unable to hear the Word of God, the Gospel Message and Believe.
Jesus's Call
Matthew 11:28
28 “Come to Me, all who are weary and heavy-laden, and I will give you rest. 29 Take My yoke upon you and learn from Me, for I am gentle and humble in heart, and you will find rest for your souls. 30 For My yoke is easy and My burden is light.”
Man's Willing and Able
Matthew 16:24
24 Then Jesus said to His disciples, “If anyone wishes to come after Me, he must deny himself, and take up his cross and follow Me.
Note:Wishes is translated from the Greek word thelō.
Yes, Jesus the word of God knew full well that man is fully willing, can Intend. be resolved, purpose,desire, love, to take delight, and have pleasure.
Strong's G2309 - thelō
1. to will, have in mind, intend
. A. to be resolved or determined, to purpose
. B. to desire, to wish
. C. to love
. i. to like to do a thing, be fond of doing
. D. to take delight in, have pleasure