How long have you had the parrot?
Is it second hand and how old is it?
I bought my now seven year old un-tame Senegal a year ago, and she's tame now.
I'd say some good advice would be as everyone else is saying, let the bird get used to it's new environment for a week before trying to physically interact.
If your bird is a screecher (mine was) get some ear plugs, food for yourself, a book and just spend an hour or more sitting next to the cage so that your side is closest to the cage, they'll get used to you being near them and not being a threat, while also realising that their screeches won't make you leave. Even if your bird isn't a screecher, just sitting next to it's cage and basically ignoring the bird can help the bird just get used to your company.
After a week or so, try to take the bird into a different room (so that it's not constantly flying back or protecting it's cage) and spend five to ten minutes giving it treats, talking to it and getting it to let you touch the top part of it's beak (the only place a parrot can't grab you from). After the short session, take it back to it's original room and leave something nice in it's bowl (a small piece of nut or fruit).
Do this consistently everyday making the sessions a little longer each day but not making them long to the point that your bird is left tired out/frustrated. Always try to end on a good note and if you notice that your parrot especially likes a certain type of food, only give it that food when it is in the sessions with you so that it associates the good food with good experiences.
On letting you touch it, my bird is still not 100% keen, the best you can do is get it to learn phrases like 'can I touch your beak/head/side(wing)? and then gently touch the corresponding areas so it doesn't get surprised. Always start touching with the top the beak and then either try to gently touch the feathers just above the top beak (on the head) or touch the wing.
Birds rarely respond well to gloves, to try to get it to step up onto your sleeved arm (use a rope to push it away from walking up your arm and scrunch your hand into a fist so it can't pick out a finger to bite. If you want to have the bird on you shoulder (not immediately!) and you have long hair, tie your hair into a band and put the pulled up hair over you ears so that the parrot can't see/bite them.
If your bird tries to bite say ay! To give it a slight surprise and then continue to do something else with it- Making sure that you didn't appear worried it was going to bite.
Anyways, these techniques worked with my Senegal but it has taken a year to get it handtame (and it's still not 100%). Just try your best, always end on a good note with your bird and don't get discouraged if your bird bites, it's a learning process for both of you.
Good luck with your new Senegal!

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