Romans 8:3 For what the law could not do, in that it was weak through the flesh, God sending his own Son in the likeness of sinful flesh, and for sin, condemned sin in the flesh:
8:4 That the righteousness of the law might be fulfilled in us, who walk not after the flesh, but after the Spirit.
8:5 For they that are after the flesh do mind the things of the flesh; but they that are after the Spirit the things of the Spirit.
8:8 So then they that are in the flesh cannot please God.
8:9 But ye are not in the flesh, but in the Spirit, if so be that the Spirit of God dwell in you. Now if any man have not the Spirit of Christ, he is none of his.
8:10 And if Christ [be] in you, the body [is] dead because of sin; but the Spirit [is] life because of righteousness.
8:11 But if the Spirit of him that raised up Jesus from the dead dwell in you, he that raised up Christ from the dead shall also quicken your mortal bodies by his Spirit that dwelleth in you.
8:12 Therefore, brethren, we are debtors, not to the flesh, to live after the flesh.
8:13 For if ye live after the flesh, ye shall die: but if ye through the Spirit do mortify the deeds of the body, ye shall live.
"The flesh" is not merely the meat and blood of a body, nor is it always conscious rebellion against God.
"The flesh" means the drives and passions the bodily pleasures and comforts --
A person living after the flesh may be giving lip service to Christ, but his lifestyle is geared to satisfying all the urges of the flesh where these control him, instead of godly principles controlling them.
"For he that soweth to his flesh shall of the flesh reap corruption; but he that soweth to the Spirit shall of the Spirit reap life everlasting." Gal 6:8
As born again Christians we are to become deaf to the unrighteous demands of the flesh.
Christ was fully human, with a body with all the natural drives common to humans. But He was totally deaf to its unrighteous demands.