Your nano s can't 'take some time' since it's not taking any active part when recieving a transaction.
The nano s is just a device to store your private keys (which are used to sign transactions (send coins)).
The time it takes for your transaction to show up on your ledger app usually takes a few seconds.
The transaction, after being sent, will be broadcasted and forwared to every node. After ledgers node recieved the TX it will show up in your wallet.
The time until a transaction gets confirmed is fully dependend on when a miner includes your transaction into his block.
To get your transaction confirmed pretty fast you have to either 1) be/know/contact a miner who includes your TX or 2) pay a fee which is attractive enough for any miner to include your TX.
It doesn't matter which amount of BTC you are trying to transfer. It is depending on the fee, not size.
When withdrawing from coinbase you have no control over the fee set. You can look the transaction up in a blockexplorer [1] to check the fee.
Afterwards you can go to
https://bitcoinfees.earn.com/ to check the current status of the backlog of transactions waiting to get confirmed.
You can find an estimated waiting time for your tx.
[1] e.g.
https://blockchain.info/,
https://www.blocktrail.com/BTC or
https://bitcoinchain.com/block_explorer
