I Want To Play Ranked But...

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No. Keep playing normals until you understand, at the bare minimum, the basics of the game. Like runes, item builds, map awareness, last hitting, wave control.

BTW Protobelt rush is superior to Lichbane rush on FIzz. Sorc shoes is way higher value on him than defensive boots. He doesn't even really need Lichbane most games. And Electrocute is his standard keystone, but I could see Conqueror working.

In terms of Fizz, Lich is a nice item to round out your build; you want the early Proto for the gap-close and the added survivability, and probably then either a Banshee's or a Zhonya's depending on the matchup. After those and fully upgraded boots is where you might opt for a Lichbane if you don't need to rush something like a Morello to deal with a heal-comp.

In terms of Ranked you probably should wait a while longer before playing, for a few reasons:

1. You do need a better understanding of the game in Ranked compared to Normals: not just your champion, but also farming (like when to set up waves pushing vs freezing), lane matchups in general (mage vs assassin compared to mage vs mage, that kinda thing) and macro play (where you should be and when, when to help on an objective vs when to simultaneously push a second objective instead).
2. You need to be able to flex into all Roles at an approximately equal level on at least 3 champions. Autofill is a thing, and unless you play Support and Jungle every game you are going to be put in another Role eventually, so you'll need to function there. Now, no one sane is expecting you to be as good at an Off-Role as your Main Role, you just need to be able to hold your own and let the people who are in their Main Roles get ahead to the point they can help you. You need at least 3 champions in each Role due to bans, counterpicks etc, though at the end of the day it is better to stick with a champion you are good at in a Role rather than taking a counterpick you aren't too good at.
3. This you may already have, but if you don't, you are gonna need to develop mental fortitude to play Ranked. The toxicity is very definitely worse there, because the games mean more (and if you are of the opinion 'Hey, it's just a game' I'd recommend not going to Ranked at all). What you really need is the ability to see flame and either ignore it or mute that player, rather than just out-trolling them because you decided to take justice into your own hands (because all that does is tank your Rank as well as theirs and risk you getting a ban). Flaming is bad and I don't condone it, but inting and afking are worse. You'll also need to be prepared to play out games you think are lost; you can start a Surrender vote on cooldown if you want, but if the vote is continue to play, you continue to try your hardest until you lose, surrender or win. If you don't think you can do that, then list for a Normal.

I played Normals and ARAMs for probably 2-3 years before I started Ranked, and whilst I'm not going to mandate people wait that long, it certainly helped to generally have a good idea of what I was doing in a few Roles, though I started out trying far too hard to be an ADC Main when what I'm actually best at is Support. My recommendation is to find your Role and main champions in Normals; get it to the point you win more than you lose on them and then consider using them for Ranked. Riot also pushed very hard at the start of this Season for people to try Ranked, and this was a terrible idea; what happened was a lot of newer people to the game went into Ranked against people who knew the game well, and the new players got stomped and flamed so hard that they'll probably never touch Ranked again, possibly even quitting LoL from the experience. If you go into Ranked and do things like running Heal Ignite on an immobile mage Mid, or refusing to buy boots on any champion except Yuumi, you WILL get flamed and you WILL get stomped and you WILL have a bad time. And you will have an especially bad time if you attempt to either Jungle without Smite or to Support without one of the 4 Support Items.... I still see the odd low level account piloted by a new player in my games and the ones that make these kind of basic mistakes invariably lose the game and are hard flamed for the entire time.