Mark 8:34-38
Why does Christ have to say things like this? Because human nature is driven by the impulse that the only way to the things a person deeply desires is through self-centered, assertive, competitive concentration on getting what it wants. We all have this drive; however, individuals differ in the strength of human nature in them and the methods they employ to achieve their goals. Jesus says the self must be denied because human nature is driven by pride and covetousness.
Of course, the Bible is not urging us to court martyrdom. It is speaking of a general approach to life, of crucifying the self-centered impulses of human nature. This means subordinating a clamoring ego with its preoccupation with "I," "me," and "mine"; its concern for self-assertion; and its insistence on comfort and prestige. It is denying the self for the sake of embracing Christ's cause. To be ashamed to live this way of life is equivalent to being ashamed of Christ Himself.
John W. Ritenbaugh
The Elements of Motivation (Part Six): Eternal Life

Christ must say these things because human nature drives people toward self-centered, assertive, competitive concentration to achieve desires. All possess this drive, though it varies in strength and methods. The self must be denied due to human nature's pride and covetousness. This involves a general approach to life by crucifying self-centered impulses, subordinating the ego's preoccupation with I, me, and mine, and its demands for assertion, comfort, and prestige. It means denying the self to embrace Christ's cause. Being ashamed to live this way equates to being ashamed of Christ Himself.