You can send from P2SH segwit or bech32/bc1 addresses now. It's sending to segwit addresses from non-upgraded exchanges that's the issue.
Thats basically exactly what i've said.
But since they are updating to segwit, does this mean that even if they use the P2SH I will be able to make transfer to them if I use the bech32 addresses from electrum?
You will always be able to send to any address from your bech32-type-address.
You will also always be able to receive funds to your bech32 address.
There only a problem occurs when you have to enter your btc-address anywhere to receive funds. Most websites/wallets hasn't been updated to regard bc1.. addresses as bitcoin addresses.
Network-wise everything is fine. Its just the websites/wallets software which needs an update.