Did Jesus ever instruct people to wear a symbol of death by suffocation to represent belief in Jesus?

Full disclosure: I am not a Christian. It occurred to me that one of the symbols used to represent Christian belief is that of Jesus depicted suffocating to death on a cross. I suspect that Bible does not describe Jesus explaining that the apparatus of execution by suffocation in Rome should be used by his followers as an idol to represent belief in Jesus. When, where, why, how, and who came up with the practice of Christians adopting and wearing the symbol of death by suffocation on a cross as a banner or jewelry or images to represent belief in Christianity? Did Jesus ever instruct people to wear a symbol of death by suffocation to represent belief in Jesus?